667795920 has 160 divisors (see below), whose sum is σ = 2267426304. Its totient is φ = 161241600.

The previous prime is 667795903. The next prime is 667795937. The reversal of 667795920 is 29597766.

667795920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (667795903) and next prime (667795937).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169235 + ... + 1169805.

Almost surely, 2^667795920 is an apocalyptic number.

667795920 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 667795920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133713152).

667795920 is an abundant number, since it is smaller than the sum of its proper divisors (1599630384).

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

667795920 is a wasteful number, since it uses less digits than its factorization.

667795920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 667795920 is about 25841.7476189208. The cubic root of 667795920 is about 874.0734333236.

The spelling of 667795920 in words is "six hundred sixty-seven million, seven hundred ninety-five thousand, nine hundred twenty".