952261632 has 264 divisors, whose sum is σ = 3257186400. Its totient is φ = 262176768.

The previous prime is 952261601. The next prime is 952261649. The reversal of 952261632 is 236162259.

952261632 is a `hidden beast` number, since 9 + 5 + 2 + 2 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870594 + ... + 1871102.

Almost surely, 2^952261632 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 952261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628593200).

952261632 is an abundant number, since it is smaller than the sum of its proper divisors (2304924768).

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

952261632 is a wasteful number, since it uses less digits than its factorization.

952261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 952261632 is about 30858.7367207409. The cubic root of 952261632 is about 983.8270566574.

The spelling of 952261632 in words is "nine hundred fifty-two million, two hundred sixty-one thousand, six hundred thirty-two".