27835136 has 72 divisors (see below), whose sum is σ = 64999200. Its totient is φ = 11891712.

The previous prime is 27835127. The next prime is 27835151. The reversal of 27835136 is 63153872.

It is a super-2 number, since 2×27835136² = 1549589592276992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27835096 and 27835105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87650 + ... + 87966.

Almost surely, 2^27835136 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 27835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32499600).

27835136 is an abundant number, since it is smaller than the sum of its proper divisors (37164064).

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

27835136 is an frugal number, since it uses more digits than its factorization.

27835136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 27835136 is about 5275.9014395646. The cubic root of 27835136 is about 303.0617424382.

The spelling of 27835136 in words is "twenty-seven million, eight hundred thirty-five thousand, one hundred thirty-six".