27993264 has 80 divisors (see below), whose sum is σ = 78765792. Its totient is φ = 8515584.

The previous prime is 27993263. The next prime is 27993269. The reversal of 27993264 is 46239972.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27993263) 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 15 ways as a sum of consecutive naturals, for example, 70314 + ... + 70710.

Almost surely, 2^27993264 is an apocalyptic number.

27993264 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 27993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382896).

27993264 is an abundant number, since it is smaller than the sum of its proper divisors (50772528).

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

27993264 is a wasteful number, since it uses less digits than its factorization.

27993264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 27993264 is about 5290.8660916716. The cubic root of 27993264 is about 303.6345446831.

The spelling of 27993264 in words is "twenty-seven million, nine hundred ninety-three thousand, two hundred sixty-four".