27382680 has 96 divisors (see below), whose sum is σ = 95855760. Its totient is φ = 6739200.

The previous prime is 27382669. The next prime is 27382687. The reversal of 27382680 is 8628372.

It is a happy number.

It is a super-2 number, since 2×27382680² = 1499622327964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27382687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755 + ... + 7605.

Almost surely, 2^27382680 is an apocalyptic number.

27382680 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 27382680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927880).

27382680 is an abundant number, since it is smaller than the sum of its proper divisors (68473080).

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

27382680 is a wasteful number, since it uses less digits than its factorization.

27382680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27382680 is about 5232.8462618349. The cubic root of 27382680 is about 301.4106894533.

The spelling of 27382680 in words is "twenty-seven million, three hundred eighty-two thousand, six hundred eighty".