960124032 has 288 divisors, whose sum is σ = 3271944780. Its totient is φ = 269402112.

The previous prime is 960124031. The next prime is 960124043. The reversal of 960124032 is 230421069.

960124032 is a `hidden beast` number, since 9 + 601 + 24 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 945193536 + 14930496 = 30744^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 960123987 and 960124005.

It is not an unprimeable number, because it can be changed into a prime (960124031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4120588 + ... + 4120820.

Almost surely, 2^960124032 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 960124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635972390).

960124032 is an abundant number, since it is smaller than the sum of its proper divisors (2311820748).

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

960124032 is a wasteful number, since it uses less digits than its factorization.

960124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 960124032 is about 30985.8682628065. The cubic root of 960124032 is about 986.5273125160.

It can be divided in two parts, 9601 and 24032, that added together give a palindrome (33633).

The spelling of 960124032 in words is "nine hundred sixty million, one hundred twenty-four thousand, thirty-two".