27681840 has 60 divisors (see below), whose sum is σ = 92967264. Its totient is φ = 7381632.

The previous prime is 27681839. The next prime is 27681859. The reversal of 27681840 is 4818672.

It is a tau number, because it is divible by the number of its divisors (60).

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 a junction number, because it is equal to n+sod(n) for n = 27681795 and 27681804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18504 + ... + 19943.

Almost surely, 2^27681840 is an apocalyptic number.

27681840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27681840 is an abundant number, since it is smaller than the sum of its proper divisors (65285424).

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

27681840 is a wasteful number, since it uses less digits than its factorization.

27681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38466 (or 38457 counting only the distinct ones).

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

The square root of 27681840 is about 5261.3534380423. The cubic root of 27681840 is about 302.5043689463.

The spelling of 27681840 in words is "twenty-seven million, six hundred eighty-one thousand, eight hundred forty".