27330864 has 80 divisors (see below), whose sum is σ = 79161600. Its totient is φ = 8052480.

The previous prime is 27330851. The next prime is 27330869. The reversal of 27330864 is 46803372.

It is a super-2 number, since 2×27330864² = 1493952253972992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27330869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18837 + ... + 20235.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^27330864 is an apocalyptic number.

27330864 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 27330864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

27330864 is an abundant number, since it is smaller than the sum of its proper divisors (51830736).

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

27330864 is a wasteful number, since it uses less digits than its factorization.

27330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

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

The square root of 27330864 is about 5227.8928833709. The cubic root of 27330864 is about 301.2204504914.

It can be divided in two parts, 273308 and 64, that added together give a palindrome (273372).

The spelling of 27330864 in words is "twenty-seven million, three hundred thirty thousand, eight hundred sixty-four".