964765672 has 32 divisors (see below), whose sum is σ = 1949683680. Its totient is φ = 444911040.

The previous prime is 964765661. The next prime is 964765687. The reversal of 964765672 is 276567469.

It is a super-3 number, since 3×964765672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155347 + ... + 161437.

It is an arithmetic number, because the mean of its divisors is an integer number (60927615).

Almost surely, 2^964765672 is an apocalyptic number.

It is an amenable number.

964765672 is an abundant number, since it is smaller than the sum of its proper divisors (984918008).

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

964765672 is a wasteful number, since it uses less digits than its factorization.

964765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7629 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 964765672 is about 31060.6772624165. The cubic root of 964765672 is about 988.1145190077.

964765672 divided by its sum of digits (52) gives a triangular number (18553186 = T₆₀₉₁).

The spelling of 964765672 in words is "nine hundred sixty-four million, seven hundred sixty-five thousand, six hundred seventy-two".