64314400 has 72 divisors (see below), whose sum is σ = 166278420. Its totient is φ = 24207360.

The previous prime is 64314391. The next prime is 64314401. The reversal of 64314400 is 441346.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13220496 + 51093904 = 3636^2 + 7148^2 .

It is not an unprimeable number, because it can be changed into a prime (64314401) 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, 11236 + ... + 15964.

Almost surely, 2^64314400 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 64314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83139210).

64314400 is an abundant number, since it is smaller than the sum of its proper divisors (101964020).

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

64314400 is a wasteful number, since it uses less digits than its factorization.

64314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 64314400 is about 8019.6259264382. The cubic root of 64314400 is about 400.6539303551.

Adding to 64314400 its reverse (441346), we get a palindrome (64755746).

The spelling of 64314400 in words is "sixty-four million, three hundred fourteen thousand, four hundred".