27846880 has 48 divisors (see below), whose sum is σ = 66134880. Its totient is φ = 11080192.

The previous prime is 27846877. The next prime is 27846883. The reversal of 27846880 is 8864872.

It is an interprime number because it is at equal distance from previous prime (27846877) and next prime (27846883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27846883) 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 7 ways as a sum of consecutive naturals, for example, 42717 + ... + 43363.

It is an arithmetic number, because the mean of its divisors is an integer number (1377810).

Almost surely, 2^27846880 is an apocalyptic number.

27846880 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 27846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33067440).

27846880 is an abundant number, since it is smaller than the sum of its proper divisors (38288000).

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

27846880 is a wasteful number, since it uses less digits than its factorization.

27846880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 27846880 is about 5277.0143073522. The cubic root of 27846880 is about 303.1043583209.

The spelling of 27846880 in words is "twenty-seven million, eight hundred forty-six thousand, eight hundred eighty".