4864132 has 72 divisors (see below), whose sum is σ = 11261376. Its totient is φ = 1818432.

The previous prime is 4864121. The next prime is 4864147. The reversal of 4864132 is 2314684.

It is a super-2 number, since 2×4864132² = 47319560226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (4608) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4864132.

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, 58563 + ... + 58645.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

Almost surely, 2^4864132 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 4864132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630688).

4864132 is an abundant number, since it is smaller than the sum of its proper divisors (6397244).

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

4864132 is a wasteful number, since it uses less digits than its factorization.

4864132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 4864132 is about 2205.4777260267. The cubic root of 4864132 is about 169.4344760557.

The spelling of 4864132 in words is "four million, eight hundred sixty-four thousand, one hundred thirty-two".