945972864 has 64 divisors (see below), whose sum is σ = 2791944000. Its totient is φ = 315323136.

The previous prime is 945972857. The next prime is 945972887. The reversal of 945972864 is 468279549.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 945972864.

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 7 ways as a sum of consecutive naturals, for example, 133404 + ... + 140315.

It is an arithmetic number, because the mean of its divisors is an integer number (43624125).

Almost surely, 2^945972864 is an apocalyptic number.

It is an amenable number.

945972864 is an abundant number, since it is smaller than the sum of its proper divisors (1845971136).

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

945972864 is a wasteful number, since it uses less digits than its factorization.

945972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273742 (or 273724 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 945972864 is about 30756.6718615653. The cubic root of 945972864 is about 981.6565291660.

It can be divided in two parts, 94597 and 2864, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 945972864 in words is "nine hundred forty-five million, nine hundred seventy-two thousand, eight hundred sixty-four".