4638080 has 32 divisors (see below), whose sum is σ = 11089440. Its totient is φ = 1854976.

The previous prime is 4638077. The next prime is 4638089. The reversal of 4638080 is 808364.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4638089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2984 + ... + 4263.

It is an arithmetic number, because the mean of its divisors is an integer number (346545).

Almost surely, 2^4638080 is an apocalyptic number.

4638080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4638080 is an abundant number, since it is smaller than the sum of its proper divisors (6451360).

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

4638080 is an equidigital number, since it uses as much as digits as its factorization.

4638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4638080 is about 2153.6202079290. The cubic root of 4638080 is about 166.7680094764.

The spelling of 4638080 in words is "four million, six hundred thirty-eight thousand, eighty".