27313440 has 192 divisors, whose sum is σ = 107412480. Its totient is φ = 5667840.

The previous prime is 27313427. The next prime is 27313457. The reversal of 27313440 is 4431372.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 27313440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36591 + ... + 37329.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^27313440 is an apocalyptic number.

27313440 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 27313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53706240).

27313440 is an abundant number, since it is smaller than the sum of its proper divisors (80099040).

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

27313440 is a wasteful number, since it uses less digits than its factorization.

27313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 27313440 is about 5226.2261719141. The cubic root of 27313440 is about 301.1564254285.

The spelling of 27313440 in words is "twenty-seven million, three hundred thirteen thousand, four hundred forty".