27424440 has 128 divisors (see below), whose sum is σ = 93024000. Its totient is φ = 7185024.

The previous prime is 27424433. The next prime is 27424447. The reversal of 27424440 is 4442472.

It is an interprime number because it is at equal distance from previous prime (27424433) and next prime (27424447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27424447) 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 31 ways as a sum of consecutive naturals, for example, 72171 + ... + 72549.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^27424440 is an apocalyptic number.

27424440 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 27424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512000).

27424440 is an abundant number, since it is smaller than the sum of its proper divisors (65599560).

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

27424440 is a wasteful number, since it uses less digits than its factorization.

27424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 27424440 is about 5236.8349219734. The cubic root of 27424440 is about 301.5638339136.

The spelling of 27424440 in words is "twenty-seven million, four hundred twenty-four thousand, four hundred forty".