27793640 has 64 divisors (see below), whose sum is σ = 75686400. Its totient is φ = 8967168.

The previous prime is 27793627. The next prime is 27793663. The reversal of 27793640 is 4639772.

It is a junction number, because it is equal to n+sod(n) for n = 27793594 and 27793603.

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, 1841 + ... + 7679.

It is an arithmetic number, because the mean of its divisors is an integer number (1182600).

Almost surely, 2^27793640 is an apocalyptic number.

27793640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27793640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843200).

27793640 is an abundant number, since it is smaller than the sum of its proper divisors (47892760).

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

27793640 is a wasteful number, since it uses less digits than its factorization.

27793640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5870 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 27793640 is about 5271.9673747094. The cubic root of 27793640 is about 302.9110683105.

The spelling of 27793640 in words is "twenty-seven million, seven hundred ninety-three thousand, six hundred forty".