27731264 has 42 divisors (see below), whose sum is σ = 60503562. Its totient is φ = 12601600.

The previous prime is 27731257. The next prime is 27731273. The reversal of 27731264 is 46213772.

It can be written as a sum of positive squares in only one way, i.e., 26956864 + 774400 = 5192^2 + 880^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 27731264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5954 + ... + 9534.

It is an arithmetic number, because the mean of its divisors is an integer number (1440561).

Almost surely, 2^27731264 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 27731264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30251781).

27731264 is an abundant number, since it is smaller than the sum of its proper divisors (32772298).

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

27731264 is a wasteful number, since it uses less digits than its factorization.

27731264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3594 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 27731264 is about 5266.0482337328. The cubic root of 27731264 is about 302.6842954104.

The spelling of 27731264 in words is "twenty-seven million, seven hundred thirty-one thousand, two hundred sixty-four".