13924872 has 192 divisors, whose sum is σ = 45864000. Its totient is φ = 3919104.

The previous prime is 13924829. The next prime is 13924903. The reversal of 13924872 is 27842931.

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 47 ways as a sum of consecutive naturals, for example, 480154 + ... + 480182.

It is an arithmetic number, because the mean of its divisors is an integer number (238875).

Almost surely, 2^13924872 is an apocalyptic number.

13924872 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 13924872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

13924872 is an abundant number, since it is smaller than the sum of its proper divisors (31939128).

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

13924872 is a wasteful number, since it uses less digits than its factorization.

13924872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13924872 is about 3731.6044806490. The cubic root of 13924872 is about 240.5823358777.

The spelling of 13924872 in words is "thirteen million, nine hundred twenty-four thousand, eight hundred seventy-two".