27874720 has 48 divisors (see below), whose sum is σ = 66679200. Its totient is φ = 11010304.

The previous prime is 27874709. The next prime is 27874733. The reversal of 27874720 is 2747872.

It is a self number, because there is not a number n which added to its sum of digits gives 27874720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12231 + ... + 14329.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^27874720 is an apocalyptic number.

27874720 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 27874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33339600).

27874720 is an abundant number, since it is smaller than the sum of its proper divisors (38804480).

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

27874720 is a wasteful number, since it uses less digits than its factorization.

27874720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 27874720 is about 5279.6515036506. The cubic root of 27874720 is about 303.2053345019.

It can be divided in two parts, 27874 and 720, that multiplied together give a triangular number (20069280 = T₆₃₃₅).

The spelling of 27874720 in words is "twenty-seven million, eight hundred seventy-four thousand, seven hundred twenty".