961661232 has 120 divisors (see below), whose sum is σ = 3150944160. Its totient is φ = 268047360.

The previous prime is 961661227. The next prime is 961661249. The reversal of 961661232 is 232166169.

It is a happy number.

961661232 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 612 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29694 + ... + 52962.

It is an arithmetic number, because the mean of its divisors is an integer number (26257868).

Almost surely, 2^961661232 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 961661232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575472080).

961661232 is an abundant number, since it is smaller than the sum of its proper divisors (2189282928).

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

961661232 is a wasteful number, since it uses less digits than its factorization.

961661232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331 (or 23322 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 961661232 is about 31010.6631983258. The cubic root of 961661232 is about 987.0535227178.

The spelling of 961661232 in words is "nine hundred sixty-one million, six hundred sixty-one thousand, two hundred thirty-two".