27807240 has 128 divisors (see below), whose sum is σ = 90668160. Its totient is φ = 6795264.

The previous prime is 27807229. The next prime is 27807251. The reversal of 27807240 is 4270872.

It is an interprime number because it is at equal distance from previous prime (27807229) and next prime (27807251).

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

It is a junction number, because it is equal to n+sod(n) for n = 27807198 and 27807207.

It is a congruent number.

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, 87562 + ... + 87878.

It is an arithmetic number, because the mean of its divisors is an integer number (708345).

Almost surely, 2^27807240 is an apocalyptic number.

27807240 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 27807240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334080).

27807240 is an abundant number, since it is smaller than the sum of its proper divisors (62860920).

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

27807240 is a wasteful number, since it uses less digits than its factorization.

27807240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 27807240 is about 5273.2570580240. The cubic root of 27807240 is about 302.9604671272.

The spelling of 27807240 in words is "twenty-seven million, eight hundred seven thousand, two hundred forty".