14906880 has 120 divisors (see below), whose sum is σ = 51706512. Its totient is φ = 3969024.

The previous prime is 14906873. The next prime is 14906917. The reversal of 14906880 is 8860941.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 22717 + ... + 23363.

Almost surely, 2^14906880 is an apocalyptic number.

14906880 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 14906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853256).

14906880 is an abundant number, since it is smaller than the sum of its proper divisors (36799632).

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

14906880 is an equidigital number, since it uses as much as digits as its factorization.

14906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 14906880 is about 3860.9428900205. The cubic root of 14906880 is about 246.1098062238.

The spelling of 14906880 in words is "fourteen million, nine hundred six thousand, eight hundred eighty".