15157968 has 80 divisors (see below), whose sum is σ = 45175680. Its totient is φ = 4290048.

The previous prime is 15157963. The next prime is 15157969. The reversal of 15157968 is 86975151.

15157968 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

15157968 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15157963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66078 + ... + 66306.

It is an arithmetic number, because the mean of its divisors is an integer number (564696).

Almost surely, 2^15157968 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 15157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840).

15157968 is an abundant number, since it is smaller than the sum of its proper divisors (30017712).

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

15157968 is a wasteful number, since it uses less digits than its factorization.

15157968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 75600, while the sum is 42.

The square root of 15157968 is about 3893.3235159694. The cubic root of 15157968 is about 247.4839250860.

The spelling of 15157968 in words is "fifteen million, one hundred fifty-seven thousand, nine hundred sixty-eight".