27440640 has 160 divisors (see below), whose sum is σ = 97716960. Its totient is φ = 7299072.

The previous prime is 27440639. The next prime is 27440653. The reversal of 27440640 is 4604472.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68922 + ... + 69318.

It is an arithmetic number, because the mean of its divisors is an integer number (610731).

Almost surely, 2^27440640 is an apocalyptic number.

27440640 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 27440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858480).

27440640 is an abundant number, since it is smaller than the sum of its proper divisors (70276320).

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

27440640 is an equidigital number, since it uses as much as digits as its factorization.

27440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

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

The square root of 27440640 is about 5238.3814294112. The cubic root of 27440640 is about 301.6232015492.

The spelling of 27440640 in words is "twenty-seven million, four hundred forty thousand, six hundred forty".