307686960 has 240 divisors, whose sum is σ = 1210547520. Its totient is φ = 68567040.

The previous prime is 307686959. The next prime is 307686971. The reversal of 307686960 is 69686703.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 205896 + ... + 207384.

It is an arithmetic number, because the mean of its divisors is an integer number (5043948).

Almost surely, 2^307686960 is an apocalyptic number.

307686960 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 307686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605273760).

307686960 is an abundant number, since it is smaller than the sum of its proper divisors (902860560).

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

307686960 is a wasteful number, since it uses less digits than its factorization.

307686960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 307686960 is about 17541.0079527945. The cubic root of 307686960 is about 675.1024700402.

The spelling of 307686960 in words is "three hundred seven million, six hundred eighty-six thousand, nine hundred sixty".