13920432 has 40 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 4580160.

The previous prime is 13920427. The next prime is 13920449. The reversal of 13920432 is 23402931.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957 + ... + 5627.

It is an arithmetic number, because the mean of its divisors is an integer number (910656).

Almost surely, 2^13920432 is an apocalyptic number.

13920432 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 13920432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

13920432 is an abundant number, since it is smaller than the sum of its proper divisors (22505808).

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

13920432 is a wasteful number, since it uses less digits than its factorization.

13920432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13920432 is about 3731.0095148632. The cubic root of 13920432 is about 240.5567629527.

The spelling of 13920432 in words is "thirteen million, nine hundred twenty thousand, four hundred thirty-two".