961637992 has 64 divisors (see below), whose sum is σ = 2122917120. Its totient is φ = 399748608.

The previous prime is 961637983. The next prime is 961638037. The reversal of 961637992 is 299736169.

961637992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008588 + ... + 1009540.

It is an arithmetic number, because the mean of its divisors is an integer number (33170580).

Almost surely, 2^961637992 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 961637992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061458560).

961637992 is an abundant number, since it is smaller than the sum of its proper divisors (1161279128).

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

961637992 is a wasteful number, since it uses less digits than its factorization.

961637992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 52.

The square root of 961637992 is about 31010.2884862428. The cubic root of 961637992 is about 987.0455714394.

The spelling of 961637992 in words is "nine hundred sixty-one million, six hundred thirty-seven thousand, nine hundred ninety-two".