64172800 has 108 divisors (see below), whose sum is σ = 163732576. Its totient is φ = 24883200.

The previous prime is 64172791. The next prime is 64172803. The reversal of 64172800 is 827146.

It is not an unprimeable number, because it can be changed into a prime (64172803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236665 + ... + 236935.

Almost surely, 2^64172800 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 64172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81866288).

64172800 is an abundant number, since it is smaller than the sum of its proper divisors (99559776).

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

64172800 is a wasteful number, since it uses less digits than its factorization.

64172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 64172800 is about 8010.7927198249. The cubic root of 64172800 is about 400.3596764851.

Adding to 64172800 its reverse (827146), we get a palindrome (64999946).

It can be divided in two parts, 641 and 72800, that added together give a square (73441 = 271²).

The spelling of 64172800 in words is "sixty-four million, one hundred seventy-two thousand, eight hundred".