960122880 has 156 divisors (see below), whose sum is σ = 3328658580. Its totient is φ = 255983616.

The previous prime is 960122869. The next prime is 960122881. The reversal of 960122880 is 88221069.

It can be written as a sum of positive squares in 2 ways, for example, as 712249344 + 247873536 = 26688^2 + 15744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960122881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181716 + ... + 186924.

It is an arithmetic number, because the mean of its divisors is an integer number (21337555).

Almost surely, 2^960122880 is an apocalyptic number.

960122880 is a gapful number since it is divisible by the number (90) 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 960122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664329290).

960122880 is an abundant number, since it is smaller than the sum of its proper divisors (2368535700).

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

960122880 is a wasteful number, since it uses less digits than its factorization.

960122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 960122880 is about 30985.8496736817. The cubic root of 960122880 is about 986.5269179559.

The spelling of 960122880 in words is "nine hundred sixty million, one hundred twenty-two thousand, eight hundred eighty".