961184880 has 100 divisors (see below), whose sum is σ = 3338359992. Its totient is φ = 256314240.

The previous prime is 961184849. The next prime is 961184897. The reversal of 961184880 is 88481169.

It is a super-2 number, since 2×961184880² = 1847752747081228800, which contains 22 as substring.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67686 + ... + 80645.

Almost surely, 2^961184880 is an apocalyptic number.

961184880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961184880 is an abundant number, since it is smaller than the sum of its proper divisors (2377175112).

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

961184880 is a wasteful number, since it uses less digits than its factorization.

961184880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148356 (or 148341 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 961184880 is about 31002.9817920793. The cubic root of 961184880 is about 986.8905191709.

The spelling of 961184880 in words is "nine hundred sixty-one million, one hundred eighty-four thousand, eight hundred eighty".