27826320 has 120 divisors (see below), whose sum is σ = 91297728. Its totient is φ = 6997760.

The previous prime is 27826301. The next prime is 27826321. The reversal of 27826320 is 2362872.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27826321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391885 + ... + 391955.

Almost surely, 2^27826320 is an apocalyptic number.

27826320 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 27826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45648864).

27826320 is an abundant number, since it is smaller than the sum of its proper divisors (63471408).

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

27826320 is a wasteful number, since it uses less digits than its factorization.

27826320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27826320 is about 5275.0658763659. The cubic root of 27826320 is about 303.0297436192.

The spelling of 27826320 in words is "twenty-seven million, eight hundred twenty-six thousand, three hundred twenty".