64314800 has 120 divisors (see below), whose sum is σ = 172703232. Its totient is φ = 22816000.

The previous prime is 64314793. The next prime is 64314821. The reversal of 64314800 is 841346.

It is a self number, because there is not a number n which added to its sum of digits gives 64314800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206645 + ... + 206955.

Almost surely, 2^64314800 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 64314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86351616).

64314800 is an abundant number, since it is smaller than the sum of its proper divisors (108388432).

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

64314800 is a wasteful number, since it uses less digits than its factorization.

64314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 64314800 is about 8019.6508652185. The cubic root of 64314800 is about 400.6547609687.

The spelling of 64314800 in words is "sixty-four million, three hundred fourteen thousand, eight hundred".