14180992 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 5419008.

The previous prime is 14180989. The next prime is 14181001. The reversal of 14180992 is 29908141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14180992² = 402201068208128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746359 + ... + 746377.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^14180992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

14180992 is an abundant number, since it is smaller than the sum of its proper divisors (22539008).

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

14180992 is an equidigital number, since it uses as much as digits as its factorization.

14180992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 14180992 is about 3765.7657919738. The cubic root of 14180992 is about 242.0483932089.

The spelling of 14180992 in words is "fourteen million, one hundred eighty thousand, nine hundred ninety-two".