27242880 has 128 divisors (see below), whose sum is σ = 99290880. Its totient is φ = 6223872.

The previous prime is 27242869. The next prime is 27242911. The reversal of 27242880 is 8824272.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12427 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 2^27242880 is an apocalyptic number.

27242880 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 27242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49645440).

27242880 is an abundant number, since it is smaller than the sum of its proper divisors (72048000).

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

27242880 is a wasteful number, since it uses less digits than its factorization.

27242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 27242880 is about 5219.4712375872. The cubic root of 27242880 is about 300.8968716213.

The spelling of 27242880 in words is "twenty-seven million, two hundred forty-two thousand, eight hundred eighty".