966836520 has 128 divisors (see below), whose sum is σ = 3470745600. Its totient is φ = 237987072.

The previous prime is 966836503. The next prime is 966836551. The reversal of 966836520 is 25638669.

It is a happy number.

966836520 is a `hidden beast` number, since 96 + 6 + 8 + 36 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20392 + ... + 48471.

It is an arithmetic number, because the mean of its divisors is an integer number (27115200).

Almost surely, 2^966836520 is an apocalyptic number.

966836520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966836520 is an abundant number, since it is smaller than the sum of its proper divisors (2503909080).

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

966836520 is a wasteful number, since it uses less digits than its factorization.

966836520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68896 (or 68886 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 966836520 is about 31093.9949186334. The cubic root of 966836520 is about 988.8210023581.

The spelling of 966836520 in words is "nine hundred sixty-six million, eight hundred thirty-six thousand, five hundred twenty".