27233680 has 40 divisors (see below), whose sum is σ = 64674432. Its totient is φ = 10660224.

The previous prime is 27233659. The next prime is 27233681. The reversal of 27233680 is 8633272.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (27233681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 139 + ... + 7381.

Almost surely, 2^27233680 is an apocalyptic number.

27233680 is a gapful number since it is divisible by the number (20) 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 27233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32337216).

27233680 is an abundant number, since it is smaller than the sum of its proper divisors (37440752).

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

27233680 is a wasteful number, since it uses less digits than its factorization.

27233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 27233680 is about 5218.5898478420. The cubic root of 27233680 is about 300.8629965575.

The spelling of 27233680 in words is "twenty-seven million, two hundred thirty-three thousand, six hundred eighty".