13992264 has 160 divisors (see below), whose sum is σ = 46347840. Its totient is φ = 3888000.

The previous prime is 13992259. The next prime is 13992271. The reversal of 13992264 is 46229931.

13992264 = 54³ + 55³ + ... + 89³.

13992264 is a `hidden beast` number, since 1 + 399 + 2 + 264 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92589 + ... + 92739.

It is an arithmetic number, because the mean of its divisors is an integer number (289674).

Almost surely, 2^13992264 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 13992264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173920).

13992264 is an abundant number, since it is smaller than the sum of its proper divisors (32355576).

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

13992264 is a wasteful number, since it uses less digits than its factorization.

13992264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13992264 is about 3740.6234774433. The cubic root of 13992264 is about 240.9698257132.

It can be divided in two parts, 1399 and 2264, that added together give a palindrome (3663).

The spelling of 13992264 in words is "thirteen million, nine hundred ninety-two thousand, two hundred sixty-four".