13915920 has 80 divisors (see below), whose sum is σ = 45032832. Its totient is φ = 3548160.

The previous prime is 13915919. The next prime is 13915927. The reversal of 13915920 is 2951931.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13915927) 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, 4260 + ... + 6780.

Almost surely, 2^13915920 is an apocalyptic number.

13915920 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 13915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516416).

13915920 is an abundant number, since it is smaller than the sum of its proper divisors (31116912).

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

13915920 is a wasteful number, since it uses less digits than its factorization.

13915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 13915920 is about 3730.4048037713. The cubic root of 13915920 is about 240.5307697602.

The spelling of 13915920 in words is "thirteen million, nine hundred fifteen thousand, nine hundred twenty".