13992480 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 3594240.

The previous prime is 13992463. The next prime is 13992509. The reversal of 13992480 is 8429931.

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

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, 177081 + ... + 177159.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^13992480 is an apocalyptic number.

13992480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13992480 is the 2160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

13992480 is an abundant number, since it is smaller than the sum of its proper divisors (36810720).

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

13992480 is a wasteful number, since it uses less digits than its factorization.

13992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13992480 is about 3740.6523495241. The cubic root of 13992480 is about 240.9710656654.

The spelling of 13992480 in words is "thirteen million, nine hundred ninety-two thousand, four hundred eighty".