15068880 has 60 divisors (see below), whose sum is σ = 50608740. Its totient is φ = 4018176.

The previous prime is 15068869. The next prime is 15068909. The reversal of 15068880 is 8886051.

It can be written as a sum of positive squares in 2 ways, for example, as 6843456 + 8225424 = 2616^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×15068880² = 454142288908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9745 + ... + 11184.

It is an arithmetic number, because the mean of its divisors is an integer number (843479).

Almost surely, 2^15068880 is an apocalyptic number.

15068880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15068880 is an abundant number, since it is smaller than the sum of its proper divisors (35539860).

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

15068880 is a wasteful number, since it uses less digits than its factorization.

15068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20948 (or 20939 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 15068880 is about 3881.8655309013. The cubic root of 15068880 is about 246.9981259453.

The spelling of 15068880 in words is "fifteen million, sixty-eight thousand, eight hundred eighty".