961532208 has 400 divisors, whose sum is σ = 3549106176. Its totient is φ = 244477440.

The previous prime is 961532179. The next prime is 961532219. The reversal of 961532208 is 802235169.

961532208 is a `hidden beast` number, since 9 + 615 + 32 + 2 + 0 + 8 = 666.

961532208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3655885 + ... + 3656147.

Almost surely, 2^961532208 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 961532208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774553088).

961532208 is an abundant number, since it is smaller than the sum of its proper divisors (2587573968).

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

961532208 is a wasteful number, since it uses less digits than its factorization.

961532208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 961532208 is about 31008.5828118603. The cubic root of 961532208 is about 987.0093771340.

The spelling of 961532208 in words is "nine hundred sixty-one million, five hundred thirty-two thousand, two hundred eight".