15140880 has 120 divisors (see below), whose sum is σ = 53882712. Its totient is φ = 3796992.

The previous prime is 15140869. The next prime is 15140887. The reversal of 15140880 is 8804151.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 10265616 = 2208^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (15140887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11622 + ... + 12858.

Almost surely, 2^15140880 is an apocalyptic number.

15140880 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 15140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26941356).

15140880 is an abundant number, since it is smaller than the sum of its proper divisors (38741832).

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

15140880 is a wasteful number, since it uses less digits than its factorization.

15140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 15140880 is about 3891.1283710513. The cubic root of 15140880 is about 247.3908916075.

The spelling of 15140880 in words is "fifteen million, one hundred forty thousand, eight hundred eighty".