576668100 has 72 divisors (see below), whose sum is σ = 1672392960. Its totient is φ = 153418880.

The previous prime is 576668089. The next prime is 576668123. The reversal of 576668100 is 1866675.

It is a super-2 number, since 2×576668100² = 665092195115220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 141694 + ... + 145706.

It is an arithmetic number, because the mean of its divisors is an integer number (23227680).

Almost surely, 2^576668100 is an apocalyptic number.

576668100 is a gapful number since it is divisible by the number (50) 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 576668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836196480).

576668100 is an abundant number, since it is smaller than the sum of its proper divisors (1095724860).

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

576668100 is a wasteful number, since it uses less digits than its factorization.

576668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 576668100 is about 24013.9147162640. The cubic root of 576668100 is about 832.3550956662.

The spelling of 576668100 in words is "five hundred seventy-six million, six hundred sixty-eight thousand, one hundred".