64138800 has 240 divisors, whose sum is σ = 231378048. Its totient is φ = 15052800.

The previous prime is 64138787. The next prime is 64138817. The reversal of 64138800 is 883146.

It is a happy number.

64138800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×64138800² = 8227571330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567544 + ... + 567656.

Almost surely, 2^64138800 is an apocalyptic number.

64138800 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 64138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115689024).

64138800 is an abundant number, since it is smaller than the sum of its proper divisors (167239248).

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

64138800 is a wasteful number, since it uses less digits than its factorization.

64138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 64138800 is about 8008.6703016169. The cubic root of 64138800 is about 400.2889578748.

The spelling of 64138800 in words is "sixty-four million, one hundred thirty-eight thousand, eight hundred".