64122900 has 72 divisors (see below), whose sum is σ = 186592224. Its totient is φ = 17001600.

The previous prime is 64122889. The next prime is 64122901. The reversal of 64122900 is 922146.

It is a super-2 number, since 2×64122900² = 8223492608820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64122901) 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, 62794 + ... + 63806.

Almost surely, 2^64122900 is an apocalyptic number.

64122900 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 64122900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93296112).

64122900 is an abundant number, since it is smaller than the sum of its proper divisors (122469324).

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

64122900 is a wasteful number, since it uses less digits than its factorization.

64122900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 64122900 is about 8007.6775659363. The cubic root of 64122900 is about 400.2558779480.

The spelling of 64122900 in words is "sixty-four million, one hundred twenty-two thousand, nine hundred".