13920000 has 180 divisors, whose sum is σ = 47890920. Its totient is φ = 3584000.

The previous prime is 13919993. The next prime is 13920019. The reversal of 13920000 is 2931.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479986 + ... + 480014.

Almost surely, 2^13920000 is an apocalyptic number.

13920000 is a gapful number since it is divisible by the number (10) 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 13920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23945460).

13920000 is an abundant number, since it is smaller than the sum of its proper divisors (33970920).

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

13920000 is an frugal number, since it uses more digits than its factorization.

13920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 13920000 is about 3730.9516212355. The cubic root of 13920000 is about 240.5542744859.

Adding to 13920000 its reverse (2931), we get a palindrome (13922931).

The spelling of 13920000 in words is "thirteen million, nine hundred twenty thousand".