15268968 has 96 divisors (see below), whose sum is σ = 48615840. Its totient is φ = 4268160.

The previous prime is 15268963. The next prime is 15268973. The reversal of 15268968 is 86986251.

It is an interprime number because it is at equal distance from previous prime (15268963) and next prime (15268973).

It is not an unprimeable number, because it can be changed into a prime (15268963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9555 + ... + 11037.

It is an arithmetic number, because the mean of its divisors is an integer number (506415).

Almost surely, 2^15268968 is an apocalyptic number.

15268968 is a gapful number since it is divisible by the number (18) 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 15268968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24307920).

15268968 is an abundant number, since it is smaller than the sum of its proper divisors (33346872).

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

15268968 is a wasteful number, since it uses less digits than its factorization.

15268968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1512 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 15268968 is about 3907.5526867849. The cubic root of 15268968 is about 248.0865549421.

The spelling of 15268968 in words is "fifteen million, two hundred sixty-eight thousand, nine hundred sixty-eight".