27304224 has 48 divisors (see below), whose sum is σ = 73620288. Its totient is φ = 8854272.

The previous prime is 27304213. The next prime is 27304229. The reversal of 27304224 is 42240372.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 27304194 and 27304203.

It is not an unprimeable number, because it can be changed into a prime (27304229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292 + ... + 7395.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 2^27304224 is an apocalyptic number.

27304224 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 27304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36810144).

27304224 is an abundant number, since it is smaller than the sum of its proper divisors (46316064).

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

27304224 is a wasteful number, since it uses less digits than its factorization.

27304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7729 counting only the distinct ones).

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

The square root of 27304224 is about 5225.3443905641. The cubic root of 27304224 is about 301.1225499221.

Adding to 27304224 its reverse (42240372), we get a palindrome (69544596).

The spelling of 27304224 in words is "twenty-seven million, three hundred four thousand, two hundred twenty-four".