4638160 has 20 divisors (see below), whose sum is σ = 10783908. Its totient is φ = 1855232.

The previous prime is 4638149. The next prime is 4638181. The reversal of 4638160 is 618364.

It can be written as a sum of positive squares in 2 ways, for example, as 1498176 + 3139984 = 1224^2 + 1772^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28909 + ... + 29068.

Almost surely, 2^4638160 is an apocalyptic number.

4638160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4638160 is an abundant number, since it is smaller than the sum of its proper divisors (6145748).

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

4638160 is a wasteful number, since it uses less digits than its factorization.

4638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57990 (or 57984 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4638160 is about 2153.6387812259. The cubic root of 4638160 is about 166.7689683045.

The spelling of 4638160 in words is "four million, six hundred thirty-eight thousand, one hundred sixty".