13561920 has 168 divisors, whose sum is σ = 49569624. Its totient is φ = 3391488.

The previous prime is 13561901. The next prime is 13561931. The reversal of 13561920 is 2916531.

13561920 is a `hidden beast` number, since 13 + 561 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 12446784 = 1056^2 + 3528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48822 + ... + 49098.

Almost surely, 2^13561920 is an apocalyptic number.

13561920 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 13561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784812).

13561920 is an abundant number, since it is smaller than the sum of its proper divisors (36007704).

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

13561920 is a wasteful number, since it uses less digits than its factorization.

13561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13561920 is about 3682.6512188911. The cubic root of 13561920 is about 238.4736466010.

The spelling of 13561920 in words is "thirteen million, five hundred sixty-one thousand, nine hundred twenty".