27963630 has 160 divisors (see below), whose sum is σ = 83635200. Its totient is φ = 6671808.

The previous prime is 27963629. The next prime is 27963671. The reversal of 27963630 is 3636972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 353931 + ... + 354009.

It is an arithmetic number, because the mean of its divisors is an integer number (522720).

Almost surely, 2^27963630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27963630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41817600).

27963630 is an abundant number, since it is smaller than the sum of its proper divisors (55671570).

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

27963630 is a wasteful number, since it uses less digits than its factorization.

27963630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 27963630 is about 5288.0648634448. The cubic root of 27963630 is about 303.5273631475.

The spelling of 27963630 in words is "twenty-seven million, nine hundred sixty-three thousand, six hundred thirty".