27242304 has 112 divisors (see below), whose sum is σ = 78028800. Its totient is φ = 8363520.

The previous prime is 27242291. The next prime is 27242309. The reversal of 27242304 is 40324272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27242309) 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, 136797 + ... + 136995.

Almost surely, 2^27242304 is an apocalyptic number.

27242304 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 27242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39014400).

27242304 is an abundant number, since it is smaller than the sum of its proper divisors (50786496).

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

27242304 is a wasteful number, since it uses less digits than its factorization.

27242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 27242304 is about 5219.4160592925. The cubic root of 27242304 is about 300.8947509715.

Adding to 27242304 its reverse (40324272), we get a palindrome (67566576).

The spelling of 27242304 in words is "twenty-seven million, two hundred forty-two thousand, three hundred four".