27706536 has 240 divisors, whose sum is σ = 95657760. Its totient is φ = 7413120.

The previous prime is 27706531. The next prime is 27706573. The reversal of 27706536 is 63560772.

27706536 = 306² + 307² + ... + 481².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27706536.

It is not an unprimeable number, because it can be changed into a prime (27706531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1204621 + ... + 1204643.

It is an arithmetic number, because the mean of its divisors is an integer number (398574).

Almost surely, 2^27706536 is an apocalyptic number.

27706536 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 27706536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47828880).

27706536 is an abundant number, since it is smaller than the sum of its proper divisors (67951224).

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

27706536 is a wasteful number, since it uses less digits than its factorization.

27706536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 27706536 is about 5263.6998394665. The cubic root of 27706536 is about 302.5943006775.

The spelling of 27706536 in words is "twenty-seven million, seven hundred six thousand, five hundred thirty-six".