27413424 has 160 divisors (see below), whose sum is σ = 85708800. Its totient is φ = 8363520.

The previous prime is 27413423. The next prime is 27413429. The reversal of 27413424 is 42431472.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (27413423) 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 31 ways as a sum of consecutive naturals, for example, 307972 + ... + 308060.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 2^27413424 is an apocalyptic number.

27413424 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 27413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42854400).

27413424 is an abundant number, since it is smaller than the sum of its proper divisors (58295376).

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

27413424 is a wasteful number, since it uses less digits than its factorization.

27413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 27413424 is about 5235.7830359938. The cubic root of 27413424 is about 301.5234505658.

Adding to 27413424 its reverse (42431472), we get a palindrome (69844896).

The spelling of 27413424 in words is "twenty-seven million, four hundred thirteen thousand, four hundred twenty-four".