27681240 has 64 divisors (see below), whose sum is σ = 83397600. Its totient is φ = 7350272.

The previous prime is 27681239. The next prime is 27681263. The reversal of 27681240 is 4218672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27681198 and 27681207.

It is a congruent number.

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, 46384 + ... + 46976.

Almost surely, 2^27681240 is an apocalyptic number.

27681240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27681240 is an abundant number, since it is smaller than the sum of its proper divisors (55716360).

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

27681240 is a wasteful number, since it uses less digits than its factorization.

27681240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27681240 is about 5261.2964181844. The cubic root of 27681240 is about 302.5021833506.

The spelling of 27681240 in words is "twenty-seven million, six hundred eighty-one thousand, two hundred forty".