13642992 has 180 divisors, whose sum is σ = 45023160. Its totient is φ = 3991680.

The previous prime is 13642987. The next prime is 13643011. The reversal of 13642992 is 29924631.

13642992 is a `hidden beast` number, since 1 + 3 + 642 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×13642992² = 372262461424128, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470434 + ... + 470462.

Almost surely, 2^13642992 is an apocalyptic number.

13642992 is a gapful number since it is divisible by the number (12) 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 13642992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22511580).

13642992 is an abundant number, since it is smaller than the sum of its proper divisors (31380168).

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

13642992 is a wasteful number, since it uses less digits than its factorization.

13642992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

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

The square root of 13642992 is about 3693.6421050232. The cubic root of 13642992 is about 238.9478945484.

It can be divided in two parts, 1364 and 2992, that added together give a square (4356 = 66²).

The spelling of 13642992 in words is "thirteen million, six hundred forty-two thousand, nine hundred ninety-two".