27821040 has 160 divisors (see below), whose sum is σ = 95785536. Its totient is φ = 6635520.

The previous prime is 27821033. The next prime is 27821041. The reversal of 27821040 is 4012872.

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 27821040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27821041) by changing a digit.

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, 115320 + ... + 115560.

Almost surely, 2^27821040 is an apocalyptic number.

27821040 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 27821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892768).

27821040 is an abundant number, since it is smaller than the sum of its proper divisors (67964496).

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

27821040 is a wasteful number, since it uses less digits than its factorization.

27821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 27821040 is about 5274.5653849393. The cubic root of 27821040 is about 303.0105759360.

The spelling of 27821040 in words is "twenty-seven million, eight hundred twenty-one thousand, forty".