668592900 has 144 divisors (see below), whose sum is σ = 2262702400. Its totient is φ = 168894720.

The previous prime is 668592887. The next prime is 668592917. The reversal of 668592900 is 9295866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44784 + ... + 57816.

Almost surely, 2^668592900 is an apocalyptic number.

668592900 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 668592900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131351200).

668592900 is an abundant number, since it is smaller than the sum of its proper divisors (1594109500).

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

668592900 is a wasteful number, since it uses less digits than its factorization.

668592900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 668592900 is about 25857.1634175135. The cubic root of 668592900 is about 874.4210156120.

The spelling of 668592900 in words is "six hundred sixty-eight million, five hundred ninety-two thousand, nine hundred".