27105264 has 60 divisors (see below), whose sum is σ = 77724192. Its totient is φ = 8812800.

The previous prime is 27105263. The next prime is 27105283. The reversal of 27105264 is 46250172.

It is a super-3 number, since 3×27105264³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105263) 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, 3609 + ... + 8199.

Almost surely, 2^27105264 is an apocalyptic number.

27105264 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 27105264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38862096).

27105264 is an abundant number, since it is smaller than the sum of its proper divisors (50618928).

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

27105264 is a wasteful number, since it uses less digits than its factorization.

27105264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27105264 is about 5206.2716025962. The cubic root of 27105264 is about 300.3893611078.

The spelling of 27105264 in words is "twenty-seven million, one hundred five thousand, two hundred sixty-four".