27344040 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 6766848.

The previous prime is 27344027. The next prime is 27344063. The reversal of 27344040 is 4044372.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27344040.

It is an unprimeable number.

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, 152671 + ... + 152849.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^27344040 is an apocalyptic number.

27344040 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 27344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

27344040 is an abundant number, since it is smaller than the sum of its proper divisors (60783960).

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

27344040 is a wasteful number, since it uses less digits than its factorization.

27344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

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

The square root of 27344040 is about 5229.1528950682. The cubic root of 27344040 is about 301.2688480715.

The spelling of 27344040 in words is "twenty-seven million, three hundred forty-four thousand, forty".