10613664 has 72 divisors (see below), whose sum is σ = 30515940. Its totient is φ = 3499008.

The previous prime is 10613663. The next prime is 10613683. The reversal of 10613664 is 46631601.

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 501264 = 3180^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10613664² = 225299727009792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10613663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39322 + ... + 39590.

Almost surely, 2^10613664 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 10613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257970).

10613664 is an abundant number, since it is smaller than the sum of its proper divisors (19902276).

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

10613664 is a wasteful number, since it uses less digits than its factorization.

10613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10613664 is about 3257.8618755251. The cubic root of 10613664 is about 219.7632715332.

The spelling of 10613664 in words is "ten million, six hundred thirteen thousand, six hundred sixty-four".