64331400 has 288 divisors, whose sum is σ = 246680640. Its totient is φ = 13578240.

The previous prime is 64331389. The next prime is 64331413. The reversal of 64331400 is 413346.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1213774 + ... + 1213826.

It is an arithmetic number, because the mean of its divisors is an integer number (856530).

Almost surely, 2^64331400 is an apocalyptic number.

64331400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123340320).

64331400 is an abundant number, since it is smaller than the sum of its proper divisors (182349240).

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

64331400 is a wasteful number, since it uses less digits than its factorization.

64331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 64331400 is about 8020.6857562181. The cubic root of 64331400 is about 400.6892283951.

Adding to 64331400 its reverse (413346), we get a palindrome (64744746).

The spelling of 64331400 in words is "sixty-four million, three hundred thirty-one thousand, four hundred".