961111872 has 168 divisors, whose sum is σ = 3287085120. Its totient is φ = 274579200.

The previous prime is 961111861. The next prime is 961111897. The reversal of 961111872 is 278111169.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 78997 + ... + 90347.

Almost surely, 2^961111872 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 961111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643542560).

961111872 is an abundant number, since it is smaller than the sum of its proper divisors (2325973248).

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

961111872 is a wasteful number, since it uses less digits than its factorization.

961111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11386 (or 11363 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 961111872 is about 31001.8043345867. The cubic root of 961111872 is about 986.8655317036.

The spelling of 961111872 in words is "nine hundred sixty-one million, one hundred eleven thousand, eight hundred seventy-two".