27661940 has 48 divisors (see below), whose sum is σ = 61765200. Its totient is φ = 10386432.

The previous prime is 27661913. The next prime is 27661979. The reversal of 27661940 is 4916672.

It can be written as a sum of positive squares in 8 ways, for example, as 3020644 + 24641296 = 1738^2 + 4964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27661940.

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, 20816 + ... + 22104.

It is an arithmetic number, because the mean of its divisors is an integer number (1286775).

Almost surely, 2^27661940 is an apocalyptic number.

27661940 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 27661940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30882600).

27661940 is an abundant number, since it is smaller than the sum of its proper divisors (34103260).

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

27661940 is a wasteful number, since it uses less digits than its factorization.

27661940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 27661940 is about 5259.4619496675. The cubic root of 27661940 is about 302.4318631683.

The spelling of 27661940 in words is "twenty-seven million, six hundred sixty-one thousand, nine hundred forty".