4680864 has 36 divisors (see below), whose sum is σ = 13312026. Its totient is φ = 1560192.

The previous prime is 4680857. The next prime is 4680881.

4680864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 1040400 = 1908^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7839 + ... + 8414.

Almost surely, 2^4680864 is an apocalyptic number.

It is an amenable number.

4680864 is an abundant number, since it is smaller than the sum of its proper divisors (8631162).

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

4680864 is a wasteful number, since it uses less digits than its factorization.

4680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16269 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4680864 is about 2163.5304481333. The cubic root of 4680864 is about 167.2792249868.

The spelling of 4680864 in words is "four million, six hundred eighty thousand, eight hundred sixty-four".