15006880 has 48 divisors (see below), whose sum is σ = 40521600. Its totient is φ = 5144832.

The previous prime is 15006877. The next prime is 15006881. The reversal of 15006880 is 8860051.

It is a happy number.

15006880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (15006881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5580 + ... + 7819.

It is an arithmetic number, because the mean of its divisors is an integer number (844200).

Almost surely, 2^15006880 is an apocalyptic number.

15006880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15006880 is an abundant number, since it is smaller than the sum of its proper divisors (25514720).

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

15006880 is a wasteful number, since it uses less digits than its factorization.

15006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 15006880 is about 3873.8714485641. The cubic root of 15006880 is about 246.6589073121.

The spelling of 15006880 in words is "fifteen million, six thousand, eight hundred eighty".