638160 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 170112.

The previous prime is 638159. The next prime is 638161. The reversal of 638160 is 61836.

638160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (638159) and next prime (638161).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 638160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 1569.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁶³⁸¹⁶⁰ is an apocalyptic number.

638160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

638160 is an abundant number, since it is smaller than the sum of its proper divisors (1340880).

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

638160 is a wasteful number, since it uses less digits than its factorization.

638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 638160 is about 798.8491722472. The cubic root of 638160 is about 86.0947216659.

Adding to 638160 its reverse (61836), we get a palindrome (699996).

It can be divided in two parts, 6381 and 60, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 638160 in words is "six hundred thirty-eight thousand, one hundred sixty".