27874840 has 64 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 9461760.

The previous prime is 27874837. The next prime is 27874853. The reversal of 27874840 is 4847872.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 27874793 and 27874802.

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 15 ways as a sum of consecutive naturals, for example, 31200 + ... + 32080.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 2^27874840 is an apocalyptic number.

27874840 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 27874840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

27874840 is an abundant number, since it is smaller than the sum of its proper divisors (44519720).

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

27874840 is a wasteful number, since it uses less digits than its factorization.

27874840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 27874840 is about 5279.6628680248. The cubic root of 27874840 is about 303.2057695985.

The spelling of 27874840 in words is "twenty-seven million, eight hundred seventy-four thousand, eight hundred forty".