27664260 has 96 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 6569472.

The previous prime is 27664243. The next prime is 27664261. The reversal of 27664260 is 6246672.

It is a super-2 number, since 2×27664260² = 1530622562695200, which contains 22 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 not an unprimeable number, because it can be changed into a prime (27664261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22009 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^27664260 is an apocalyptic number.

27664260 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 27664260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

27664260 is an abundant number, since it is smaller than the sum of its proper divisors (58701180).

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

27664260 is a wasteful number, since it uses less digits than its factorization.

27664260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 27664260 is about 5259.6824999234. The cubic root of 27664260 is about 302.4403178935.

The spelling of 27664260 in words is "twenty-seven million, six hundred sixty-four thousand, two hundred sixty".