952633968 has 320 divisors, whose sum is σ = 3090468864. Its totient is φ = 250905600.

The previous prime is 952633961. The next prime is 952633973. The reversal of 952633968 is 869336259.

It is a super-2 number, since 2×952633968² = 1815022953974850048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 952633968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952633961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25746846 + ... + 25746882.

Almost surely, 2^952633968 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 952633968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545234432).

952633968 is an abundant number, since it is smaller than the sum of its proper divisors (2137834896).

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

952633968 is a wasteful number, since it uses less digits than its factorization.

952633968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The square root of 952633968 is about 30864.7690417408. The cubic root of 952633968 is about 983.9552659947.

The spelling of 952633968 in words is "nine hundred fifty-two million, six hundred thirty-three thousand, nine hundred sixty-eight".