961560 has 48 divisors (see below), whose sum is σ = 3126240. Its totient is φ = 256320.

The previous prime is 961549. The next prime is 961567. The reversal of 961560 is 65169.

It is a congruent number.

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

961560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976 + ... + 1695.

It is an arithmetic number, because the mean of its divisors is an integer number (65130).

2⁹⁶¹⁵⁶⁰ is an apocalyptic number.

961560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961560 is an abundant number, since it is smaller than the sum of its proper divisors (2164680).

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

961560 is a wasteful number, since it uses less digits than its factorization.

961560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 961560 is about 980.5916581330. The cubic root of 961560 is about 98.7018886505.

It can be divided in two parts, 961 and 560, that added together give a square (1521 = 39²).

The spelling of 961560 in words is "nine hundred sixty-one thousand, five hundred sixty".