960440832 has 120 divisors (see below), whose sum is σ = 2985306324. Its totient is φ = 295501824.

The previous prime is 960440809. The next prime is 960440837. The reversal of 960440832 is 238044069.

It is a happy number.

960440832 is a `hidden beast` number, since 9 + 604 + 40 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 689377536 + 271063296 = 26256^2 + 16464^2 .

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 (960440837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51888 + ... + 67920.

Almost surely, 2^960440832 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 960440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492653162).

960440832 is an abundant number, since it is smaller than the sum of its proper divisors (2024865492).

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

960440832 is a wasteful number, since it uses less digits than its factorization.

960440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070 (or 16051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 960440832 is about 30990.9798489819. The cubic root of 960440832 is about 986.6358045699.

The spelling of 960440832 in words is "nine hundred sixty million, four hundred forty thousand, eight hundred thirty-two".