13920096 has 48 divisors (see below), whose sum is σ = 37001664. Its totient is φ = 4581504.

The previous prime is 13920061. The next prime is 13920113. The reversal of 13920096 is 69002931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7095 + ... + 8841.

It is an arithmetic number, because the mean of its divisors is an integer number (770868).

Almost surely, 2^13920096 is an apocalyptic number.

13920096 is a gapful number since it is divisible by the number (16) 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 13920096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18500832).

13920096 is an abundant number, since it is smaller than the sum of its proper divisors (23081568).

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

13920096 is a wasteful number, since it uses less digits than its factorization.

13920096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13920096 is about 3730.9644865638. The cubic root of 13920096 is about 240.5548274830.

The spelling of 13920096 in words is "thirteen million, nine hundred twenty thousand, ninety-six".