961860816 has 120 divisors (see below), whose sum is σ = 3257452224. Its totient is φ = 258647040.

The previous prime is 961860811. The next prime is 961860847. The reversal of 961860816 is 618068169.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961860811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10930 + ... + 45201.

Almost surely, 2^961860816 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 961860816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628726112).

961860816 is an abundant number, since it is smaller than the sum of its proper divisors (2295591408).

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

961860816 is a wasteful number, since it uses less digits than its factorization.

961860816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56169 (or 56160 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 961860816 is about 31013.8810212460. The cubic root of 961860816 is about 987.1218026404.

The spelling of 961860816 in words is "nine hundred sixty-one million, eight hundred sixty thousand, eight hundred sixteen".