27256632 has 64 divisors (see below), whose sum is σ = 73920000. Its totient is φ = 8325504.

The previous prime is 27256631. The next prime is 27256639. The reversal of 27256632 is 23665272.

It is a happy number.

It is a super-3 number, since 3×27256632³ (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 27256593 and 27256602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27256631) 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, 61869 + ... + 62307.

It is an arithmetic number, because the mean of its divisors is an integer number (1155000).

Almost surely, 2^27256632 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 27256632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960000).

27256632 is an abundant number, since it is smaller than the sum of its proper divisors (46663368).

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

27256632 is a wasteful number, since it uses less digits than its factorization.

27256632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 27256632 is about 5220.7884462024. The cubic root of 27256632 is about 300.9474932602.

The spelling of 27256632 in words is "twenty-seven million, two hundred fifty-six thousand, six hundred thirty-two".