27769536 has 84 divisors (see below), whose sum is σ = 81810352. Its totient is φ = 8999424.

The previous prime is 27769531. The next prime is 27769607. The reversal of 27769536 is 63596772.

It is a super-2 number, since 2×27769536² = 1542294259310592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27769491 and 27769500.

It is not an unprimeable number, because it can be changed into a prime (27769531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20661 + ... + 21963.

Almost surely, 2^27769536 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 27769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40905176).

27769536 is an abundant number, since it is smaller than the sum of its proper divisors (54040816).

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

27769536 is a wasteful number, since it uses less digits than its factorization.

27769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1345 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 27769536 is about 5269.6808252493. The cubic root of 27769536 is about 302.8234765676.

The spelling of 27769536 in words is "twenty-seven million, seven hundred sixty-nine thousand, five hundred thirty-six".