4635864 has 72 divisors (see below), whose sum is σ = 13167180. Its totient is φ = 1473120.

The previous prime is 4635863. The next prime is 4635871. The reversal of 4635864 is 4685364.

4635864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69159 + ... + 69225.

Almost surely, 2^4635864 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 4635864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583590).

4635864 is an abundant number, since it is smaller than the sum of its proper divisors (8531316).

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

4635864 is a wasteful number, since it uses less digits than its factorization.

4635864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4635864 is about 2153.1056639190. The cubic root of 4635864 is about 166.7414455548.

The spelling of 4635864 in words is "four million, six hundred thirty-five thousand, eight hundred sixty-four".