27664752 has 60 divisors (see below), whose sum is σ = 73625496. Its totient is φ = 8951040.

The previous prime is 27664751. The next prime is 27664757. The reversal of 27664752 is 25746672.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27664752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65502 + ... + 65922.

Almost surely, 2^27664752 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 27664752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36812748).

27664752 is an abundant number, since it is smaller than the sum of its proper divisors (45960744).

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

27664752 is a wasteful number, since it uses less digits than its factorization.

27664752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 463 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 27664752 is about 5259.7292705994. The cubic root of 27664752 is about 302.4421108176.

The spelling of 27664752 in words is "twenty-seven million, six hundred sixty-four thousand, seven hundred fifty-two".