64368864 has 192 divisors, whose sum is σ = 222566400. Its totient is φ = 17708544.

The previous prime is 64368859. The next prime is 64368869. The reversal of 64368864 is 46886346.

It is an interprime number because it is at equal distance from previous prime (64368859) and next prime (64368869).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64368869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175209 + ... + 175575.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 2^64368864 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 64368864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

64368864 is an abundant number, since it is smaller than the sum of its proper divisors (158197536).

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

64368864 is a wasteful number, since it uses less digits than its factorization.

64368864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 64368864 is about 8023.0208774501. The cubic root of 64368864 is about 400.7669950232.

The spelling of 64368864 in words is "sixty-four million, three hundred sixty-eight thousand, eight hundred sixty-four".