27641240 has 48 divisors (see below), whose sum is σ = 68372640. Its totient is φ = 10049600.

The previous prime is 27641227. The next prime is 27641261. The reversal of 27641240 is 4214672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985 + ... + 7695.

It is an arithmetic number, because the mean of its divisors is an integer number (1424430).

Almost surely, 2^27641240 is an apocalyptic number.

27641240 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 27641240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186320).

27641240 is an abundant number, since it is smaller than the sum of its proper divisors (40731400).

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

27641240 is a wasteful number, since it uses less digits than its factorization.

27641240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 27641240 is about 5257.4936994732. The cubic root of 27641240 is about 302.3564056769.

It can be divided in two parts, 2764 and 1240, that added together give a palindrome (4004).

The spelling of 27641240 in words is "twenty-seven million, six hundred forty-one thousand, two hundred forty".