27816840 has 48 divisors (see below), whose sum is σ = 90405900. Its totient is φ = 7417728.

The previous prime is 27816839. The next prime is 27816851. The reversal of 27816840 is 4861872.

It can be written as a sum of positive squares in 2 ways, for example, as 27815076 + 1764 = 5274^2 + 42^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 27816795 and 27816804.

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 11 ways as a sum of consecutive naturals, for example, 38275 + ... + 38994.

Almost surely, 2^27816840 is an apocalyptic number.

27816840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27816840 is an abundant number, since it is smaller than the sum of its proper divisors (62589060).

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

27816840 is a wasteful number, since it uses less digits than its factorization.

27816840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77286 (or 77279 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 27816840 is about 5274.1672328435. The cubic root of 27816840 is about 302.9953271834.

The spelling of 27816840 in words is "twenty-seven million, eight hundred sixteen thousand, eight hundred forty".