964686960 has 60 divisors (see below), whose sum is σ = 3239742792. Its totient is φ = 257249664.

The previous prime is 964686959. The next prime is 964687033. The reversal of 964686960 is 69686469.

It is a happy number.

964686960 is a `hidden beast` number, since 96 + 468 + 6 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 964686897 and 964686906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669202 + ... + 670641.

Almost surely, 2^964686960 is an apocalyptic number.

964686960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

964686960 is an abundant number, since it is smaller than the sum of its proper divisors (2275055832).

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

964686960 is a wasteful number, since it uses less digits than its factorization.

964686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339862 (or 1339853 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 964686960 is about 31059.4101682566. The cubic root of 964686960 is about 988.0876459588.

The spelling of 964686960 in words is "nine hundred sixty-four million, six hundred eighty-six thousand, nine hundred sixty".