960509952 has 216 divisors, whose sum is σ = 2935164960. Its totient is φ = 302284800.

The previous prime is 960509857. The next prime is 960509999. The reversal of 960509952 is 259905069.

960509952 is a `hidden beast` number, since 96 + 0 + 509 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 960509898 and 960509907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23427052 + ... + 23427092.

Almost surely, 2^960509952 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 960509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467582480).

960509952 is an abundant number, since it is smaller than the sum of its proper divisors (1974655008).

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

960509952 is a wasteful number, since it uses less digits than its factorization.

960509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 960509952 is about 30992.0949921105. The cubic root of 960509952 is about 986.6594723930.

The spelling of 960509952 in words is "nine hundred sixty million, five hundred nine thousand, nine hundred fifty-two".