668793600 has 324 divisors, whose sum is σ = 2535447096. Its totient is φ = 167608320.

The previous prime is 668793581. The next prime is 668793613. The reversal of 668793600 is 6397866.

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 35 ways as a sum of consecutive naturals, for example, 978859 + ... + 979541.

It is an arithmetic number, because the mean of its divisors is an integer number (7825454).

Almost surely, 2^668793600 is an apocalyptic number.

668793600 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 668793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267723548).

668793600 is an abundant number, since it is smaller than the sum of its proper divisors (1866653496).

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

668793600 is a wasteful number, since it uses less digits than its factorization.

668793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 668793600 is about 25861.0440624504. The cubic root of 668793600 is about 874.5085022029.

The spelling of 668793600 in words is "six hundred sixty-eight million, seven hundred ninety-three thousand, six hundred".