27787940 has 24 divisors (see below), whose sum is σ = 59313912. Its totient is φ = 10932480.

The previous prime is 27787939. The next prime is 27787957. The reversal of 27787940 is 4978772.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 26050816 = 1318^2 + 5104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27787891 and 27787900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10169 + ... + 12608.

It is an arithmetic number, because the mean of its divisors is an integer number (2471413).

Almost surely, 2^27787940 is an apocalyptic number.

27787940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27787940 is an abundant number, since it is smaller than the sum of its proper divisors (31525972).

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

27787940 is a wasteful number, since it uses less digits than its factorization.

27787940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22847 (or 22845 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 27787940 is about 5271.4267518386. The cubic root of 27787940 is about 302.8903596024.

The spelling of 27787940 in words is "twenty-seven million, seven hundred eighty-seven thousand, nine hundred forty".