64289040 has 80 divisors (see below), whose sum is σ = 205748736. Its totient is φ = 16588800.

The previous prime is 64289033. The next prime is 64289041. The reversal of 64289040 is 4098246.

64289040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 64288992 and 64289010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64289041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120 + ... + 11760.

Almost surely, 2^64289040 is an apocalyptic number.

64289040 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 64289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102874368).

64289040 is an abundant number, since it is smaller than the sum of its proper divisors (141459696).

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

64289040 is a wasteful number, since it uses less digits than its factorization.

64289040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 64289040 is about 8018.0446494142. The cubic root of 64289040 is about 400.6012624226.

The spelling of 64289040 in words is "sixty-four million, two hundred eighty-nine thousand, forty".