961986792 has 128 divisors (see below), whose sum is σ = 2709504000. Its totient is φ = 282597120.

The previous prime is 961986787. The next prime is 961986793. The reversal of 961986792 is 297689169.

It is not an unprimeable number, because it can be changed into a prime (961986793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763459 + ... + 764717.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2^961986792 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 961986792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752000).

961986792 is an abundant number, since it is smaller than the sum of its proper divisors (1747517208).

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

961986792 is a wasteful number, since it uses less digits than its factorization.

961986792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1387 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 961986792 is about 31015.9119163052. The cubic root of 961986792 is about 987.1648955791.

The spelling of 961986792 in words is "nine hundred sixty-one million, nine hundred eighty-six thousand, seven hundred ninety-two".