961828736 has 64 divisors (see below), whose sum is σ = 2129943600. Its totient is φ = 428912640.

The previous prime is 961828733. The next prime is 961828739. The reversal of 961828736 is 637828169.

It is an interprime number because it is at equal distance from previous prime (961828733) and next prime (961828739).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×961828736² = 1850229034790715392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961828733) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68180 + ... + 81068.

Almost surely, 2^961828736 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 961828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064971800).

961828736 is an abundant number, since it is smaller than the sum of its proper divisors (1168114864).

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

961828736 is a wasteful number, since it uses less digits than its factorization.

961828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12955 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 961828736 is about 31013.3638291624. The cubic root of 961828736 is about 987.1108283501.

The spelling of 961828736 in words is "nine hundred sixty-one million, eight hundred twenty-eight thousand, seven hundred thirty-six".