961568 has 24 divisors (see below), whose sum is σ = 1915200. Its totient is φ = 475200.

The previous prime is 961567. The next prime is 961601. The reversal of 961568 is 865169.

It is a super-2 number, since 2×961568² = 1849226037248, which contains 22 as substring.

961568 is a Rhonda number in base 6.

Its product of digits (12960) is a multiple of the sum of its prime factors (360).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (961567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4733 + ... + 4931.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

2⁹⁶¹⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

961568 is a deficient number, since it is larger than the sum of its proper divisors (953632).

961568 is a wasteful number, since it uses less digits than its factorization.

961568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 961568 is about 980.5957372944. The cubic root of 961568 is about 98.7021623769.

The spelling of 961568 in words is "nine hundred sixty-one thousand, five hundred sixty-eight".