27956664 has 96 divisors (see below), whose sum is σ = 79999920. Its totient is φ = 9144576.

The previous prime is 27956659. The next prime is 27956683. The reversal of 27956664 is 46665972.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 141814 + ... + 142010.

Almost surely, 2^27956664 is an apocalyptic number.

27956664 is a gapful number since it is divisible by the number (24) 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 27956664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39999960).

27956664 is an abundant number, since it is smaller than the sum of its proper divisors (52043256).

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

27956664 is a wasteful number, since it uses less digits than its factorization.

27956664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 27956664 is about 5287.4061693802. The cubic root of 27956664 is about 303.5021572258.

The spelling of 27956664 in words is "twenty-seven million, nine hundred fifty-six thousand, six hundred sixty-four".