10613568 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 2955264.

The previous prime is 10613567. The next prime is 10613579. The reversal of 10613568 is 86531601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10613568² = 225295651381248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613567) 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, 71158 + ... + 71306.

Almost surely, 2^10613568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

10613568 is an abundant number, since it is smaller than the sum of its proper divisors (22304832).

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

10613568 is a wasteful number, since it uses less digits than its factorization.

10613568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

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

The square root of 10613568 is about 3257.8471419021. The cubic root of 10613568 is about 219.7626089490.

The spelling of 10613568 in words is "ten million, six hundred thirteen thousand, five hundred sixty-eight".