27440000 has 160 divisors (see below), whose sum is σ = 79662000. Its totient is φ = 9408000.

The previous prime is 27439999. The next prime is 27440011. The reversal of 27440000 is 4472.

27440000 = 56³ + 57³ + ... + 104³.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3919997 + ... + 3920003.

Almost surely, 2^27440000 is an apocalyptic number.

27440000 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 27440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831000).

27440000 is an abundant number, since it is smaller than the sum of its proper divisors (52222000).

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

27440000 is an frugal number, since it uses more digits than its factorization.

27440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 27440000 is about 5238.3203414835. The cubic root of 27440000 is about 301.6208566045.

Multiplying 27440000 by its product of nonzero digits (224), we get a 4-th power (6146560000 = 280⁴).

27440000 divided by its product of nonzero digits (224) gives a square (122500 = 350²).

Adding to 27440000 its reverse (4472), we get a palindrome (27444472).

Subtracting from 27440000 its reverse (4472), we obtain a triangular number (27435528 = T₇₄₀₇).

The spelling of 27440000 in words is "twenty-seven million, four hundred forty thousand".