27313380 has 72 divisors (see below), whose sum is σ = 84894264. Its totient is φ = 7104000.

The previous prime is 27313379. The next prime is 27313399. The reversal of 27313380 is 8331372.

27313380 is a `hidden beast` number, since 273 + 13 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 27311076 = 48^2 + 5226^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5530 + ... + 9230.

It is an arithmetic number, because the mean of its divisors is an integer number (1179087).

Almost surely, 2^27313380 is an apocalyptic number.

27313380 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 27313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42447132).

27313380 is an abundant number, since it is smaller than the sum of its proper divisors (57580884).

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

27313380 is a wasteful number, since it uses less digits than its factorization.

27313380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27313380 is about 5226.2204316313. The cubic root of 27313380 is about 301.1562049095.

The spelling of 27313380 in words is "twenty-seven million, three hundred thirteen thousand, three hundred eighty".