952768960 has 224 divisors, whose sum is σ = 2728276992. Its totient is φ = 312299520.

The previous prime is 952768937. The next prime is 952768963. The reversal of 952768960 is 69867259.

It is a happy number.

It is a super-2 number, since 2×952768960² = 1815537382278963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 952768898 and 952768907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952768963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2150499 + ... + 2150941.

It is an arithmetic number, because the mean of its divisors is an integer number (12179808).

Almost surely, 2^952768960 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 952768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364138496).

952768960 is an abundant number, since it is smaller than the sum of its proper divisors (1775508032).

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

952768960 is a wasteful number, since it uses less digits than its factorization.

952768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 952768960 is about 30866.9557941822. The cubic root of 952768960 is about 984.0017405834.

It can be divided in two parts, 9527 and 68960, that added together give a palindrome (78487).

The spelling of 952768960 in words is "nine hundred fifty-two million, seven hundred sixty-eight thousand, nine hundred sixty".