307120896 has 108 divisors (see below), whose sum is σ = 918487752. Its totient is φ = 102352896.

The previous prime is 307120871. The next prime is 307120949. The reversal of 307120896 is 698021703.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a self number, because there is not a number n which added to its sum of digits gives 307120896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59740 + ... + 64676.

Almost surely, 2^307120896 is an apocalyptic number.

307120896 is a gapful number since it is divisible by the number (36) 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 307120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459243876).

307120896 is an abundant number, since it is smaller than the sum of its proper divisors (611366856).

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

307120896 is an frugal number, since it uses more digits than its factorization.

307120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 307120896 is about 17524.8650779400. The cubic root of 307120896 is about 674.6882115599.

The spelling of 307120896 in words is "three hundred seven million, one hundred twenty thousand, eight hundred ninety-six".