960532992 has 400 divisors, whose sum is σ = 3208455360. Its totient is φ = 284663808.

The previous prime is 960532957. The next prime is 960532999. The reversal of 960532992 is 299235069.

960532992 is a `hidden beast` number, since 9 + 605 + 32 + 9 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (960532999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18123238 + ... + 18123290.

Almost surely, 2^960532992 is an apocalyptic number.

960532992 is a gapful number since it is divisible by the number (92) 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 960532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604227680).

960532992 is an abundant number, since it is smaller than the sum of its proper divisors (2247922368).

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

960532992 is a wasteful number, since it uses less digits than its factorization.

960532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 960532992 is about 30992.4666975702. The cubic root of 960532992 is about 986.6673614150.

The spelling of 960532992 in words is "nine hundred sixty million, five hundred thirty-two thousand, nine hundred ninety-two".