64407820 has 48 divisors (see below), whose sum is σ = 142168320. Its totient is φ = 24463296.

The previous prime is 64407817. The next prime is 64407821. The reversal of 64407820 is 2870446.

64407820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64407821) 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, 74551 + ... + 75409.

It is an arithmetic number, because the mean of its divisors is an integer number (2961840).

Almost surely, 2^64407820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64407820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71084160).

64407820 is an abundant number, since it is smaller than the sum of its proper divisors (77760500).

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

64407820 is a wasteful number, since it uses less digits than its factorization.

64407820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 64407820 is about 8025.4482740841. The cubic root of 64407820 is about 400.8478267051.

The spelling of 64407820 in words is "sixty-four million, four hundred seven thousand, eight hundred twenty".