13645872 has 60 divisors (see below), whose sum is σ = 38465544. Its totient is φ = 4515840.

The previous prime is 13645847. The next prime is 13645897. The reversal of 13645872 is 27854631.

13645872 = 164² + 165² + ... + 356².

13645872 is a `hidden beast` number, since 1 + 3 + 645 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13645847) and next prime (13645897).

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 11 ways as a sum of consecutive naturals, for example, 27547 + ... + 28037.

Almost surely, 2^13645872 is an apocalyptic number.

13645872 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 13645872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232772).

13645872 is an abundant number, since it is smaller than the sum of its proper divisors (24819672).

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

13645872 is a wasteful number, since it uses less digits than its factorization.

13645872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13645872 is about 3694.0319435544. The cubic root of 13645872 is about 238.9647071244.

The spelling of 13645872 in words is "thirteen million, six hundred forty-five thousand, eight hundred seventy-two".