27313680 has 80 divisors (see below), whose sum is σ = 85887360. Its totient is φ = 7179264.

The previous prime is 27313661. The next prime is 27313681. The reversal of 27313680 is 8631372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27313681) 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, 16741 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (1073592).

Almost surely, 2^27313680 is an apocalyptic number.

27313680 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 27313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943680).

27313680 is an abundant number, since it is smaller than the sum of its proper divisors (58573680).

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

27313680 is a wasteful number, since it uses less digits than its factorization.

27313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 27313680 is about 5226.2491329825. The cubic root of 27313680 is about 301.1573075013.

The spelling of 27313680 in words is "twenty-seven million, three hundred thirteen thousand, six hundred eighty".