307920960 has 224 divisors, whose sum is σ = 1098011520. Its totient is φ = 81229824.

The previous prime is 307920959. The next prime is 307920997. The reversal of 307920960 is 69029703.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1356367 + ... + 1356593.

Almost surely, 2^307920960 is an apocalyptic number.

307920960 is a gapful number since it is divisible by the number (30) 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 307920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549005760).

307920960 is an abundant number, since it is smaller than the sum of its proper divisors (790090560).

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

307920960 is a wasteful number, since it uses less digits than its factorization.

307920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 307920960 is about 17547.6767693048. The cubic root of 307920960 is about 675.2735681240.

The spelling of 307920960 in words is "three hundred seven million, nine hundred twenty thousand, nine hundred sixty".