27436968 has 80 divisors (see below), whose sum is σ = 82785780. Its totient is φ = 8439552.

The previous prime is 27436951. The next prime is 27436993. The reversal of 27436968 is 86963472.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 324 = 5238^2 + 18^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6796 + ... + 10052.

Almost surely, 2^27436968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27436968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41392890).

27436968 is an abundant number, since it is smaller than the sum of its proper divisors (55348812).

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

27436968 is a wasteful number, since it uses less digits than its factorization.

27436968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3275 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27436968 is about 5238.0309277437. The cubic root of 27436968 is about 301.6097469334.

The spelling of 27436968 in words is "twenty-seven million, four hundred thirty-six thousand, nine hundred sixty-eight".