4686264 has 96 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1382400.

The previous prime is 4686257. The next prime is 4686277. The reversal of 4686264 is 4626864.

It is a happy number.

It is a super-2 number, since 2×4686264² = 43922140555392, which contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48264 + ... + 48360.

Almost surely, 2^4686264 is an apocalyptic number.

4686264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4686264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

4686264 is an abundant number, since it is smaller than the sum of its proper divisors (9531576).

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

4686264 is a wasteful number, since it uses less digits than its factorization.

4686264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4686264 is about 2164.7780486692. The cubic root of 4686264 is about 167.3435265541.

It can be divided in two parts, 4686 and 264, that added together give a triangular number (4950 = T₉₉).

The spelling of 4686264 in words is "four million, six hundred eighty-six thousand, two hundred sixty-four".