27681000 has 64 divisors (see below), whose sum is σ = 86374080. Its totient is φ = 7380800.

The previous prime is 27680977. The next prime is 27681001. The reversal of 27681000 is 18672.

It is a super-2 number, since 2×27681000² = 1532475522000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27681001) 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 15 ways as a sum of consecutive naturals, for example, 1614 + ... + 7613.

It is an arithmetic number, because the mean of its divisors is an integer number (1349595).

Almost surely, 2^27681000 is an apocalyptic number.

27681000 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 27681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43187040).

27681000 is an abundant number, since it is smaller than the sum of its proper divisors (58693080).

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

27681000 is a wasteful number, since it uses less digits than its factorization.

27681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 27681000 is about 5261.2736100682. The cubic root of 27681000 is about 302.5013091035.

Adding to 27681000 its reverse (18672), we get a palindrome (27699672).

The spelling of 27681000 in words is "twenty-seven million, six hundred eighty-one thousand".