961847280 has 60 divisors (see below), whose sum is σ = 3230206200. Its totient is φ = 256492416.

The previous prime is 961847251. The next prime is 961847291. The reversal of 961847280 is 82748169.

961847280 is a `hidden beast` number, since 9 + 618 + 4 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 667230 + ... + 668669.

It is an arithmetic number, because the mean of its divisors is an integer number (53836770).

Almost surely, 2^961847280 is an apocalyptic number.

961847280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

961847280 is an abundant number, since it is smaller than the sum of its proper divisors (2268358920).

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

961847280 is a wasteful number, since it uses less digits than its factorization.

961847280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335918 (or 1335909 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 961847280 is about 31013.6627956132. The cubic root of 961847280 is about 987.1171721217.

It can be divided in two parts, 961 and 847280, that added together give a square (848241 = 921²).

The spelling of 961847280 in words is "nine hundred sixty-one million, eight hundred forty-seven thousand, two hundred eighty".