64324800 has 168 divisors, whose sum is σ = 234645200. Its totient is φ = 17141760.

The previous prime is 64324769. The next prime is 64324801. The reversal of 64324800 is 842346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64324801) 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 23 ways as a sum of consecutive naturals, for example, 42456 + ... + 43944.

Almost surely, 2^64324800 is an apocalyptic number.

64324800 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 64324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117322600).

64324800 is an abundant number, since it is smaller than the sum of its proper divisors (170320400).

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

64324800 is a wasteful number, since it uses less digits than its factorization.

64324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 64324800 is about 8020.2743095233. The cubic root of 64324800 is about 400.6755251887.

The spelling of 64324800 in words is "sixty-four million, three hundred twenty-four thousand, eight hundred".