64538800 has 60 divisors (see below), whose sum is σ = 164192616. Its totient is φ = 24294400.

The previous prime is 64538777. The next prime is 64538819. The reversal of 64538800 is 883546.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2055 + ... + 11545.

Almost surely, 2^64538800 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 64538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82096308).

64538800 is an abundant number, since it is smaller than the sum of its proper divisors (99653816).

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

64538800 is a wasteful number, since it uses less digits than its factorization.

64538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 64538800 is about 8033.6044214288. The cubic root of 64538800 is about 401.1193646351.

The spelling of 64538800 in words is "sixty-four million, five hundred thirty-eight thousand, eight hundred".