64866900 has 288 divisors, whose sum is σ = 239984640. Its totient is φ = 13178880.

The previous prime is 64866889. The next prime is 64866913. The reversal of 64866900 is 966846.

It is a super-2 number, since 2×64866900² = 8415429431220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821061 + ... + 821139.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^64866900 is an apocalyptic number.

64866900 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 64866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

64866900 is an abundant number, since it is smaller than the sum of its proper divisors (175117740).

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

64866900 is a wasteful number, since it uses less digits than its factorization.

64866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 64866900 is about 8053.9990067047. Note that the first 3 decimals coincide. The cubic root of 64866900 is about 401.7979480155.

The spelling of 64866900 in words is "sixty-four million, eight hundred sixty-six thousand, nine hundred".