64229940 has 72 divisors (see below), whose sum is σ = 196815528. Its totient is φ = 16953600.

The previous prime is 64229933. The next prime is 64229947. The reversal of 64229940 is 4992246.

64229940 is a `hidden beast` number, since 642 + 2 + 9 + 9 + 4 + 0 = 666.

64229940 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64229933) and next prime (64229947).

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 32012964 = 5676^2 + 5658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

64229940 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 64229895 and 64229904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64229947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16414 + ... + 19946.

It is an arithmetic number, because the mean of its divisors is an integer number (2733549).

Almost surely, 2^64229940 is an apocalyptic number.

64229940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64229940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98407764).

64229940 is an abundant number, since it is smaller than the sum of its proper divisors (132585588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64229940 is a wasteful number, since it uses less digits than its factorization.

64229940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64229940 is about 8014.3583648350. The cubic root of 64229940 is about 400.4784691067.

The spelling of 64229940 in words is "sixty-four million, two hundred twenty-nine thousand, nine hundred forty".