668364960 has 96 divisors (see below), whose sum is σ = 2173312512. Its totient is φ = 172477440.

The previous prime is 668364941. The next prime is 668364967. The reversal of 668364960 is 69463866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (668364967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7579 + ... + 37338.

It is an arithmetic number, because the mean of its divisors is an integer number (22638672).

Almost surely, 2^668364960 is an apocalyptic number.

668364960 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 668364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086656256).

668364960 is an abundant number, since it is smaller than the sum of its proper divisors (1504947552).

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

668364960 is a wasteful number, since it uses less digits than its factorization.

668364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44966 (or 44958 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 668364960 is about 25852.7553657246. The cubic root of 668364960 is about 874.3216336707.

The spelling of 668364960 in words is "six hundred sixty-eight million, three hundred sixty-four thousand, nine hundred sixty".