961868832 has 96 divisors (see below), whose sum is σ = 2644088832. Its totient is φ = 305589504.

The previous prime is 961868807. The next prime is 961868893. The reversal of 961868832 is 238868169.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 809743 + ... + 810929.

It is an arithmetic number, because the mean of its divisors is an integer number (27542592).

Almost surely, 2^961868832 is an apocalyptic number.

961868832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

961868832 is the 25323-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322044416).

961868832 is an abundant number, since it is smaller than the sum of its proper divisors (1682220000).

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

961868832 is a wasteful number, since it uses less digits than its factorization.

961868832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 961868832 is about 31014.0102534322. The cubic root of 961868832 is about 987.1245448065.

The spelling of 961868832 in words is "nine hundred sixty-one million, eight hundred sixty-eight thousand, eight hundred thirty-two".