13615680 has 112 divisors (see below), whose sum is σ = 46597824. Its totient is φ = 3348480.

The previous prime is 13615669. The next prime is 13615681. The reversal of 13615680 is 8651631.

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 (13615681) 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, 11935 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^13615680 is an apocalyptic number.

13615680 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 13615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912).

13615680 is an abundant number, since it is smaller than the sum of its proper divisors (32982144).

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

13615680 is a wasteful number, since it uses less digits than its factorization.

13615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13615680 is about 3689.9430889920. The cubic root of 13615680 is about 238.7883375476.

The spelling of 13615680 in words is "thirteen million, six hundred fifteen thousand, six hundred eighty".