10613680 has 80 divisors (see below), whose sum is σ = 30783744. Its totient is φ = 3306240.

The previous prime is 10613663. The next prime is 10613683. The reversal of 10613680 is 8631601.

10613680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10613680² = 225300406284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10613683) 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, 5299 + ... + 7021.

Almost surely, 2^10613680 is an apocalyptic number.

10613680 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 10613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15391872).

10613680 is an abundant number, since it is smaller than the sum of its proper divisors (20170064).

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

10613680 is a wasteful number, since it uses less digits than its factorization.

10613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10613680 is about 3257.8643311225. The cubic root of 10613680 is about 219.7633819635.

The spelling of 10613680 in words is "ten million, six hundred thirteen thousand, six hundred eighty".