4678632 has 48 divisors (see below), whose sum is σ = 14483040. Its totient is φ = 1336608.

The previous prime is 4678631. The next prime is 4678649. The reversal of 4678632 is 2368764.

4678632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (4678631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4138 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (301730).

Almost surely, 2^4678632 is an apocalyptic number.

4678632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4678632 is an abundant number, since it is smaller than the sum of its proper divisors (9804408).

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

4678632 is a wasteful number, since it uses less digits than its factorization.

4678632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9295 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4678632 is about 2163.0145630578. The cubic root of 4678632 is about 167.2526325606.

The spelling of 4678632 in words is "four million, six hundred seventy-eight thousand, six hundred thirty-two".