64557400 has 48 divisors (see below), whose sum is σ = 151943400. Its totient is φ = 25505280.

The previous prime is 64557377. The next prime is 64557401. The reversal of 64557400 is 475546.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64557401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14656 + ... + 18544.

Almost surely, 2^64557400 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 64557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75971700).

64557400 is an abundant number, since it is smaller than the sum of its proper divisors (87386000).

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

64557400 is a wasteful number, since it uses less digits than its factorization.

64557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 64557400 is about 8034.7619753170. The cubic root of 64557400 is about 401.1578949639.

The spelling of 64557400 in words is "sixty-four million, five hundred fifty-seven thousand, four hundred".