680172960 has 192 divisors, whose sum is σ = 2239332480. Its totient is φ = 173322240.

The previous prime is 680172959. The next prime is 680172979. The reversal of 680172960 is 69271086.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 1823334 + ... + 1823706.

It is an arithmetic number, because the mean of its divisors is an integer number (11663190).

Almost surely, 2^680172960 is an apocalyptic number.

680172960 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 680172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119666240).

680172960 is an abundant number, since it is smaller than the sum of its proper divisors (1559159520).

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

680172960 is a wasteful number, since it uses less digits than its factorization.

680172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 680172960 is about 26080.1257665679. The cubic root of 680172960 is about 879.4404845486.

The spelling of 680172960 in words is "six hundred eighty million, one hundred seventy-two thousand, nine hundred sixty".