875686464 has 147 divisors (see below), whose sum is σ = 2624499577. Its totient is φ = 289764864.

The previous prime is 875686453. The next prime is 875686477. The reversal of 875686464 is 464686578.

The square root of 875686464 is 29592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 514382400 + 361304064 = 22680^2 + 19008^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 875686464.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6391804 + ... + 6391940.

Almost surely, 2^875686464 is an apocalyptic number.

875686464 is the 29592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875686464

875686464 is an abundant number, since it is smaller than the sum of its proper divisors (1748813113).

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

875686464 is an frugal number, since it uses more digits than its factorization.

875686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 142 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The cubic root of 875686464 is about 956.7156514123.

The spelling of 875686464 in words is "eight hundred seventy-five million, six hundred eighty-six thousand, four hundred sixty-four".