13613616 has 40 divisors (see below), whose sum is σ = 39077360. Its totient is φ = 4537728.

The previous prime is 13613609. The next prime is 13613623. The reversal of 13613616 is 61631631.

It is a happy number.

13613616 is a `hidden beast` number, since 1 + 36 + 13 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (13613609) and next prime (13613623).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13613616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15325 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (976934).

Almost surely, 2^13613616 is an apocalyptic number.

13613616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13613616 is an abundant number, since it is smaller than the sum of its proper divisors (25463744).

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

13613616 is a wasteful number, since it uses less digits than its factorization.

13613616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31530 (or 31518 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13613616 is about 3689.6633992818. The cubic root of 13613616 is about 238.7762709686.

The spelling of 13613616 in words is "thirteen million, six hundred thirteen thousand, six hundred sixteen".