961047936 has 256 divisors, whose sum is σ = 3015936000. Its totient is φ = 300754944.

The previous prime is 961047929. The next prime is 961047943. The reversal of 961047936 is 639740169.

It is an interprime number because it is at equal distance from previous prime (961047929) and next prime (961047943).

It is a super-2 number, since 2×961047936² = 1847226270579720192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 961047891 and 961047900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4309521 + ... + 4309743.

It is an arithmetic number, because the mean of its divisors is an integer number (11781000).

Almost surely, 2^961047936 is an apocalyptic number.

961047936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961047936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507968000).

961047936 is an abundant number, since it is smaller than the sum of its proper divisors (2054888064).

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

961047936 is a wasteful number, since it uses less digits than its factorization.

961047936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 961047936 is about 31000.7731516490. The cubic root of 961047936 is about 986.8436481485.

The spelling of 961047936 in words is "nine hundred sixty-one million, forty-seven thousand, nine hundred thirty-six".