27763164 has 72 divisors (see below), whose sum is σ = 82463472. Its totient is φ = 7764480.

The previous prime is 27763157. The next prime is 27763181. The reversal of 27763164 is 46136772.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2452 + ... + 7844.

It is an arithmetic number, because the mean of its divisors is an integer number (1145326).

Almost surely, 2^27763164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27763164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41231736).

27763164 is an abundant number, since it is smaller than the sum of its proper divisors (54700308).

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

27763164 is a wasteful number, since it uses less digits than its factorization.

27763164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5422 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 27763164 is about 5269.0761998665. The cubic root of 27763164 is about 302.8003128292.

The spelling of 27763164 in words is "twenty-seven million, seven hundred sixty-three thousand, one hundred sixty-four".