27633640 has 16 divisors (see below), whose sum is σ = 62175780. Its totient is φ = 11053440.

The previous prime is 27633637. The next prime is 27633643. The reversal of 27633640 is 4633672.

It is an interprime number because it is at equal distance from previous prime (27633637) and next prime (27633643).

It can be written as a sum of positive squares in 2 ways, for example, as 25948836 + 1684804 = 5094^2 + 1298^2 .

It is not an unprimeable number, because it can be changed into a prime (27633643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345381 + ... + 345460.

Almost surely, 2^27633640 is an apocalyptic number.

27633640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27633640 is an abundant number, since it is smaller than the sum of its proper divisors (34542140).

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

27633640 is a wasteful number, since it uses less digits than its factorization.

27633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690852 (or 690848 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 27633640 is about 5256.7708719327. The cubic root of 27633640 is about 302.3286920225.

The spelling of 27633640 in words is "twenty-seven million, six hundred thirty-three thousand, six hundred forty".