13920040 has 16 divisors (see below), whose sum is σ = 31320180. Its totient is φ = 5568000.

The previous prime is 13920031. The next prime is 13920043. The reversal of 13920040 is 4002931.

It can be written as a sum of positive squares in 2 ways, for example, as 13410244 + 509796 = 3662^2 + 714^2 .

It is not an unprimeable number, because it can be changed into a prime (13920043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 173961 + ... + 174040.

Almost surely, 2^13920040 is an apocalyptic number.

13920040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13920040 is an abundant number, since it is smaller than the sum of its proper divisors (17400140).

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

13920040 is a wasteful number, since it uses less digits than its factorization.

13920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348012 (or 348008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13920040 is about 3730.9569817943. The cubic root of 13920040 is about 240.5545049017.

Adding to 13920040 its reverse (4002931), we get a palindrome (17922971).

The spelling of 13920040 in words is "thirteen million, nine hundred twenty thousand, forty".