27983760 has 80 divisors (see below), whose sum is σ = 99148416. Its totient is φ = 6395904.

The previous prime is 27983749. The next prime is 27983777. The reversal of 27983760 is 6738972.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6649 + ... + 10008.

Almost surely, 2^27983760 is an apocalyptic number.

27983760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27983760 is an abundant number, since it is smaller than the sum of its proper divisors (71164656).

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

27983760 is a wasteful number, since it uses less digits than its factorization.

27983760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 27983760 is about 5289.9678637965. The cubic root of 27983760 is about 303.6001784470.

The spelling of 27983760 in words is "twenty-seven million, nine hundred eighty-three thousand, seven hundred sixty".