961049232 has 320 divisors, whose sum is σ = 3319787520. Its totient is φ = 262310400.

The previous prime is 961049191. The next prime is 961049233. The reversal of 961049232 is 232940169.

961049232 is a `hidden beast` number, since 9 + 610 + 4 + 9 + 2 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (961049233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2903307 + ... + 2903637.

It is an arithmetic number, because the mean of its divisors is an integer number (10374336).

Almost surely, 2^961049232 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 961049232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659893760).

961049232 is an abundant number, since it is smaller than the sum of its proper divisors (2358738288).

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

961049232 is a wasteful number, since it uses less digits than its factorization.

961049232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

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

The square root of 961049232 is about 31000.7940543464. The cubic root of 961049232 is about 986.8440917437.

The spelling of 961049232 in words is "nine hundred sixty-one million, forty-nine thousand, two hundred thirty-two".