27638160 has 240 divisors, whose sum is σ = 102047040. Its totient is φ = 6128640.

The previous prime is 27638129. The next prime is 27638161. The reversal of 27638160 is 6183672.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×27638160³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27638161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953026 + ... + 953054.

It is an arithmetic number, because the mean of its divisors is an integer number (425196).

Almost surely, 2^27638160 is an apocalyptic number.

27638160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27638160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023520).

27638160 is an abundant number, since it is smaller than the sum of its proper divisors (74408880).

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

27638160 is a wasteful number, since it uses less digits than its factorization.

27638160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 27638160 is about 5257.2007760785. The cubic root of 27638160 is about 302.3451749661.

The spelling of 27638160 in words is "twenty-seven million, six hundred thirty-eight thousand, one hundred sixty".