14180880 has 160 divisors (see below), whose sum is σ = 52568064. Its totient is φ = 3091968.

The previous prime is 14180869. The next prime is 14180891. The reversal of 14180880 is 8808141.

It is an interprime number because it is at equal distance from previous prime (14180869) and next prime (14180891).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38457 + ... + 38823.

Almost surely, 2^14180880 is an apocalyptic number.

14180880 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 14180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284032).

14180880 is an abundant number, since it is smaller than the sum of its proper divisors (38387184).

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

14180880 is a wasteful number, since it uses less digits than its factorization.

14180880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 14180880 is about 3765.7509211311. The cubic root of 14180880 is about 242.0477559829.

The spelling of 14180880 in words is "fourteen million, one hundred eighty thousand, eight hundred eighty".