961922560 has 240 divisors, whose sum is σ = 2633054688. Its totient is φ = 335216640.

The previous prime is 961922527. The next prime is 961922561. The reversal of 961922560 is 65229169.

It is a super-2 number, since 2×961922560² = 1850590022873907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961922561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31029745 + ... + 31029775.

Almost surely, 2^961922560 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 961922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316527344).

961922560 is an abundant number, since it is smaller than the sum of its proper divisors (1671132128).

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

961922560 is a wasteful number, since it uses less digits than its factorization.

961922560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 961922560 is about 31014.8764305131. The cubic root of 961922560 is about 987.1429240416.

It can be divided in two parts, 961 and 922560, that added together give a 4-th power (923521 = 31⁴).

The spelling of 961922560 in words is "nine hundred sixty-one million, nine hundred twenty-two thousand, five hundred sixty".