961492032 has 210 divisors, whose sum is σ = 2960329614. Its totient is φ = 308551680.

The previous prime is 961492031. The next prime is 961492039. The reversal of 961492032 is 230294169.

961492032 is a `hidden beast` number, since 9 + 614 + 9 + 2 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 717382656 + 244109376 = 26784^2 + 15624^2 .

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 (961492031) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 4981728 + ... + 4981920.

Almost surely, 2^961492032 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 961492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480164807).

961492032 is an abundant number, since it is smaller than the sum of its proper divisors (1998837582).

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

961492032 is a wasteful number, since it uses less digits than its factorization.

961492032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 229 counting only the distinct ones).

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

The square root of 961492032 is about 31007.9349844520. The cubic root of 961492032 is about 986.9956301023.

It can be divided in two parts, 96 and 1492032, that added together give a triangular number (1492128 = T₁₇₂₇).

The spelling of 961492032 in words is "nine hundred sixty-one million, four hundred ninety-two thousand, thirty-two".