13920360 has 64 divisors (see below), whose sum is σ = 42007680. Its totient is φ = 3690240.

The previous prime is 13920349. The next prime is 13920367. The reversal of 13920360 is 6302931.

It is a Cunningham number, because it is equal to 3731²-1.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13920360.

It is not an unprimeable number, because it can be changed into a prime (13920367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37134 + ... + 37506.

It is an arithmetic number, because the mean of its divisors is an integer number (656370).

Almost surely, 2^13920360 is an apocalyptic number.

13920360 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 13920360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003840).

13920360 is an abundant number, since it is smaller than the sum of its proper divisors (28087320).

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

13920360 is a wasteful number, since it uses less digits than its factorization.

13920360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13920360 is about 3730.9998659877. Note that the first 3 decimals coincide. The cubic root of 13920360 is about 240.5563482118.

The spelling of 13920360 in words is "thirteen million, nine hundred twenty thousand, three hundred sixty".