961887936 has 112 divisors (see below), whose sum is σ = 2591043840. Its totient is φ = 314895360.

The previous prime is 961887919. The next prime is 961887959. The reversal of 961887936 is 639788169.

961887936 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, 4200270 + ... + 4200498.

It is an arithmetic number, because the mean of its divisors is an integer number (23134320).

Almost surely, 2^961887936 is an apocalyptic number.

961887936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295521920).

961887936 is an abundant number, since it is smaller than the sum of its proper divisors (1629155904).

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

961887936 is a wasteful number, since it uses less digits than its factorization.

961887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 961887936 is about 31014.3182417412. The cubic root of 961887936 is about 987.1310799673.

The spelling of 961887936 in words is "nine hundred sixty-one million, eight hundred eighty-seven thousand, nine hundred thirty-six".