27745536 has 144 divisors (see below), whose sum is σ = 91113344. Its totient is φ = 7299072.

The previous prime is 27745519. The next prime is 27745559. The reversal of 27745536 is 63554772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 27745494 and 27745503.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69690 + ... + 70086.

Almost surely, 2^27745536 is an apocalyptic number.

27745536 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 27745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45556672).

27745536 is an abundant number, since it is smaller than the sum of its proper divisors (63367808).

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

27745536 is a wasteful number, since it uses less digits than its factorization.

27745536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 27745536 is about 5267.4031552559. The cubic root of 27745536 is about 302.7362123778.

The spelling of 27745536 in words is "twenty-seven million, seven hundred forty-five thousand, five hundred thirty-six".