961991716 has 72 divisors (see below), whose sum is σ = 2107974456. Its totient is φ = 381588480.

The previous prime is 961991707. The next prime is 961991753. The reversal of 961991716 is 617199169.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3841600 + 958150116 = 1960^2 + 30954^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 961991716.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200886 + ... + 205618.

It is an arithmetic number, because the mean of its divisors is an integer number (29277423).

Almost surely, 2^961991716 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 961991716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053987228).

961991716 is an abundant number, since it is smaller than the sum of its proper divisors (1145982740).

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

961991716 is a wasteful number, since it uses less digits than its factorization.

961991716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4820 counting only the distinct ones).

The product of its digits is 183708, while the sum is 49.

The square root of 961991716 is about 31015.9912948144. The cubic root of 961991716 is about 987.1665798683.

The spelling of 961991716 in words is "nine hundred sixty-one million, nine hundred ninety-one thousand, seven hundred sixteen".