946561320 has 96 divisors (see below), whose sum is σ = 3210105600. Its totient is φ = 241439616.

The previous prime is 946561313. The next prime is 946561349. The reversal of 946561320 is 23165649.

It is a happy number.

946561320 is a `hidden beast` number, since 94 + 6 + 561 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 48880 + ... + 65439.

It is an arithmetic number, because the mean of its divisors is an integer number (33438600).

Almost surely, 2^946561320 is an apocalyptic number.

946561320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

946561320 is an abundant number, since it is smaller than the sum of its proper divisors (2263544280).

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

946561320 is a wasteful number, since it uses less digits than its factorization.

946561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114359 (or 114352 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 946561320 is about 30766.2366889420. The cubic root of 946561320 is about 981.8600381520.

The spelling of 946561320 in words is "nine hundred forty-six million, five hundred sixty-one thousand, three hundred twenty".