15004880 has 120 divisors (see below), whose sum is σ = 41113440. Its totient is φ = 5048320.

The previous prime is 15004879. The next prime is 15004903. The reversal of 15004880 is 8840051.

15004880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254291 + ... + 254349.

It is an arithmetic number, because the mean of its divisors is an integer number (342612).

Almost surely, 2^15004880 is an apocalyptic number.

15004880 is a gapful number since it is divisible by the number (10) 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 15004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556720).

15004880 is an abundant number, since it is smaller than the sum of its proper divisors (26108560).

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

15004880 is a wasteful number, since it uses less digits than its factorization.

15004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 15004880 is about 3873.6133002663. The cubic root of 15004880 is about 246.6479492331.

The spelling of 15004880 in words is "fifteen million, four thousand, eight hundred eighty".