10961568 has 60 divisors (see below), whose sum is σ = 32245290. Its totient is φ = 3652992.

The previous prime is 10961563. The next prime is 10961579. The reversal of 10961568 is 86516901.

10961568 is a `hidden beast` number, since 1 + 0 + 96 + 1 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5817744 + 5143824 = 2412^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10961563) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 478 + ... + 4706.

Almost surely, 2^10961568 is an apocalyptic number.

10961568 is a gapful number since it is divisible by the number (18) 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 10961568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122645).

10961568 is an abundant number, since it is smaller than the sum of its proper divisors (21283722).

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

10961568 is an equidigital number, since it uses as much as digits as its factorization.

10961568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10961568 is about 3310.8258788405. The cubic root of 10961568 is about 222.1387007608.

The spelling of 10961568 in words is "ten million, nine hundred sixty-one thousand, five hundred sixty-eight".