27761136 has 80 divisors (see below), whose sum is σ = 81807264. Its totient is φ = 8036352.

The previous prime is 27761131. The next prime is 27761143. The reversal of 27761136 is 63116772.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27761097 and 27761106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27761131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9300 + ... + 11916.

Almost surely, 2^27761136 is an apocalyptic number.

27761136 is a gapful number since it is divisible by the number (26) 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 27761136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40903632).

27761136 is an abundant number, since it is smaller than the sum of its proper divisors (54046128).

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

27761136 is a wasteful number, since it uses less digits than its factorization.

27761136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2652 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 27761136 is about 5268.8837527507. The cubic root of 27761136 is about 302.7929398225.

The spelling of 27761136 in words is "twenty-seven million, seven hundred sixty-one thousand, one hundred thirty-six".