961359616 has 108 divisors (see below), whose sum is σ = 2250235512. Its totient is φ = 408705024.

The previous prime is 961359559. The next prime is 961359653. The reversal of 961359616 is 616953169.

It is a super-2 number, since 2×961359616² = 1848424622551334912, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2169891 + ... + 2170333.

It is an arithmetic number, because the mean of its divisors is an integer number (20835514).

Almost surely, 2^961359616 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 961359616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125117756).

961359616 is an abundant number, since it is smaller than the sum of its proper divisors (1288875896).

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

961359616 is a wasteful number, since it uses less digits than its factorization.

961359616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its digits is 262440, while the sum is 46.

The square root of 961359616 is about 31005.7997155371. The cubic root of 961359616 is about 986.9503185764.

The spelling of 961359616 in words is "nine hundred sixty-one million, three hundred fifty-nine thousand, six hundred sixteen".