27025664 has 36 divisors (see below), whose sum is σ = 54298860. Its totient is φ = 13424640.

The previous prime is 27025643. The next prime is 27025697. The reversal of 27025664 is 46652072.

It can be written as a sum of positive squares in 2 ways, for example, as 17977600 + 9048064 = 4240^2 + 3008^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 27025664.

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, 58394 + ... + 58854.

Almost surely, 2^27025664 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 27025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27149430).

27025664 is an abundant number, since it is smaller than the sum of its proper divisors (27273196).

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

27025664 is an equidigital number, since it uses as much as digits as its factorization.

27025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 27025664 is about 5198.6213557058. The cubic root of 27025664 is about 300.0950217516.

The spelling of 27025664 in words is "twenty-seven million, twenty-five thousand, six hundred sixty-four".