4638120 has 32 divisors (see below), whose sum is σ = 13914720. Its totient is φ = 1236800.

The previous prime is 4638119. The next prime is 4638133. The reversal of 4638120 is 218364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19206 + ... + 19445.

It is an arithmetic number, because the mean of its divisors is an integer number (434835).

Almost surely, 2^4638120 is an apocalyptic number.

4638120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4638120 is an abundant number, since it is smaller than the sum of its proper divisors (9276600).

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

4638120 is a wasteful number, since it uses less digits than its factorization.

4638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38665 (or 38661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4638120 is about 2153.6294945974. The cubic root of 4638120 is about 166.7684888918.

The spelling of 4638120 in words is "four million, six hundred thirty-eight thousand, one hundred twenty".