15307968 has 56 divisors (see below), whose sum is σ = 43625008. Its totient is φ = 4709376.

The previous prime is 15307961. The next prime is 15307987. The reversal of 15307968 is 86970351.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (15307961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 5562.

It is an arithmetic number, because the mean of its divisors is an integer number (779018).

Almost surely, 2^15307968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812504).

15307968 is an abundant number, since it is smaller than the sum of its proper divisors (28317040).

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

15307968 is a wasteful number, since it uses less digits than its factorization.

15307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 15307968 is about 3912.5398400528. The cubic root of 15307968 is about 248.2975962668.

The spelling of 15307968 in words is "fifteen million, three hundred seven thousand, nine hundred sixty-eight".