14980160 has 84 divisors (see below), whose sum is σ = 38765988. Its totient is φ = 5511168.

The previous prime is 14980139. The next prime is 14980171. The reversal of 14980160 is 6108941.

It can be written as a sum of positive squares in 6 ways, for example, as 5345344 + 9634816 = 2312^2 + 3104^2 .

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, 53942 + ... + 54218.

Almost surely, 2^14980160 is an apocalyptic number.

14980160 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 14980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382994).

14980160 is an abundant number, since it is smaller than the sum of its proper divisors (23785828).

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

14980160 is a wasteful number, since it uses less digits than its factorization.

14980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 14980160 is about 3870.4211657131. The cubic root of 14980160 is about 246.5124269087.

The spelling of 14980160 in words is "fourteen million, nine hundred eighty thousand, one hundred sixty".