27681264 has 200 divisors, whose sum is σ = 90744192. Its totient is φ = 8087040.

The previous prime is 27681263. The next prime is 27681289. The reversal of 27681264 is 46218672.

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 not an unprimeable number, because it can be changed into a prime (27681263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 522262 + ... + 522314.

Almost surely, 2^27681264 is an apocalyptic number.

27681264 is a gapful number since it is divisible by the number (24) 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 27681264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

27681264 is an abundant number, since it is smaller than the sum of its proper divisors (63062928).

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

27681264 is a wasteful number, since it uses less digits than its factorization.

27681264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27681264 is about 5261.2986989906. The cubic root of 27681264 is about 302.5022707750.

The spelling of 27681264 in words is "twenty-seven million, six hundred eighty-one thousand, two hundred sixty-four".