27820320 has 144 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 6730240.

The previous prime is 27820307. The next prime is 27820333. The reversal of 27820320 is 2302872.

It is an interprime number because it is at equal distance from previous prime (27820307) and next prime (27820333).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57841 + ... + 58319.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^27820320 is an apocalyptic number.

27820320 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 27820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

27820320 is an abundant number, since it is smaller than the sum of its proper divisors (68705760).

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

27820320 is a wasteful number, since it uses less digits than its factorization.

27820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 27820320 is about 5274.4971324288. The cubic root of 27820320 is about 303.0079619731.

The spelling of 27820320 in words is "twenty-seven million, eight hundred twenty thousand, three hundred twenty".