27874080 has 144 divisors (see below), whose sum is σ = 102506040. Its totient is φ = 6856704.

The previous prime is 27874079. The next prime is 27874111. The reversal of 27874080 is 8047872.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 14653584 = 3636^2 + 3828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 17976 + ... + 19464.

Almost surely, 2^27874080 is an apocalyptic number.

27874080 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 27874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51253020).

27874080 is an abundant number, since it is smaller than the sum of its proper divisors (74631960).

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

27874080 is a wasteful number, since it uses less digits than its factorization.

27874080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27874080 is about 5279.5908932416. The cubic root of 27874080 is about 303.2030139656.

The spelling of 27874080 in words is "twenty-seven million, eight hundred seventy-four thousand, eighty".