4686864 has 160 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1161216.

The previous prime is 4686841. The next prime is 4686881.

4686864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126654 + ... + 126690.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

Almost surely, 2^4686864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4686864 is an abundant number, since it is smaller than the sum of its proper divisors (11145456).

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

4686864 is a wasteful number, since it uses less digits than its factorization.

4686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 91 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 4686864 is about 2164.9166265702. The cubic root of 4686864 is about 167.3506681230.

The spelling of 4686864 in words is "four million, six hundred eighty-six thousand, eight hundred sixty-four".