15010968 has 64 divisors (see below), whose sum is σ = 43200000. Its totient is φ = 4257792.

The previous prime is 15010921. The next prime is 15010979. The reversal of 15010968 is 86901051.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33208 + ... + 33656.

It is an arithmetic number, because the mean of its divisors is an integer number (675000).

Almost surely, 2^15010968 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 15010968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600000).

15010968 is an abundant number, since it is smaller than the sum of its proper divisors (28189032).

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

15010968 is a wasteful number, since it uses less digits than its factorization.

15010968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 15010968 is about 3874.3990501754. The cubic root of 15010968 is about 246.6813025972.

The spelling of 15010968 in words is "fifteen million, ten thousand, nine hundred sixty-eight".