27661914 has 72 divisors (see below), whose sum is σ = 70817760. Its totient is φ = 7642080.

The previous prime is 27661913. The next prime is 27661979. The reversal of 27661914 is 41916672.

27661914 is a `hidden beast` number, since 27 + 6 + 619 + 14 = 666.

It is a super-2 number, since 2×27661914² = 1530362972286792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27661913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 453444 + ... + 453504.

It is an arithmetic number, because the mean of its divisors is an integer number (983580).

Almost surely, 2^27661914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35408880).

27661914 is an abundant number, since it is smaller than the sum of its proper divisors (43155846).

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

27661914 is a wasteful number, since it uses less digits than its factorization.

27661914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 132 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27661914 is about 5259.4594779312. The cubic root of 27661914 is about 302.4317684144.

The spelling of 27661914 in words is "twenty-seven million, six hundred sixty-one thousand, nine hundred fourteen".