668833920 has 192 divisors, whose sum is σ = 2339064000. Its totient is φ = 176080896.

The previous prime is 668833901. The next prime is 668833933. The reversal of 668833920 is 29338866.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 477381 + ... + 478779.

It is an arithmetic number, because the mean of its divisors is an integer number (12182625).

Almost surely, 2^668833920 is an apocalyptic number.

668833920 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 668833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169532000).

668833920 is an abundant number, since it is smaller than the sum of its proper divisors (1670230080).

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

668833920 is a wasteful number, since it uses less digits than its factorization.

668833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 668833920 is about 25861.8236015947. The cubic root of 668833920 is about 874.5260758730.

The spelling of 668833920 in words is "six hundred sixty-eight million, eight hundred thirty-three thousand, nine hundred twenty".