14996880 has 160 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 3893760.

The previous prime is 14996843. The next prime is 14996881. The reversal of 14996880 is 8869941.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14996881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114415 + ... + 114545.

It is an arithmetic number, because the mean of its divisors is an integer number (331452).

Almost surely, 2^14996880 is an apocalyptic number.

14996880 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 14996880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

14996880 is an abundant number, since it is smaller than the sum of its proper divisors (38035440).

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

14996880 is a wasteful number, since it uses less digits than its factorization.

14996880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 14996880 is about 3872.5805349921. The cubic root of 14996880 is about 246.6041071770.

It can be divided in two parts, 14996 and 880, that added together give a square (15876 = 126²).

The spelling of 14996880 in words is "fourteen million, nine hundred ninety-six thousand, eight hundred eighty".