64860800 has 48 divisors (see below), whose sum is σ = 160234350. Its totient is φ = 25943040.

The previous prime is 64860793. The next prime is 64860823. The reversal of 64860800 is 806846.

64860800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 55472704 + 9388096 = 7448^2 + 3064^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6935 + ... + 13334.

Almost surely, 2^64860800 is an apocalyptic number.

It is an amenable number.

64860800 is an abundant number, since it is smaller than the sum of its proper divisors (95373550).

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

64860800 is a wasteful number, since it uses less digits than its factorization.

64860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 64860800 is about 8053.6203039379. The cubic root of 64860800 is about 401.7853527663.

The spelling of 64860800 in words is "sixty-four million, eight hundred sixty thousand, eight hundred".