27689940 has 72 divisors (see below), whose sum is σ = 88943400. Its totient is φ = 6948864.

The previous prime is 27689899. The next prime is 27689941. The reversal of 27689940 is 4998672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 17539344 = 3186^2 + 4188^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27689941) 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, 1465 + ... + 7584.

It is an arithmetic number, because the mean of its divisors is an integer number (1235325).

Almost surely, 2^27689940 is an apocalyptic number.

27689940 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 27689940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44471700).

27689940 is an abundant number, since it is smaller than the sum of its proper divisors (61253460).

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

27689940 is a wasteful number, since it uses less digits than its factorization.

27689940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27689940 is about 5262.1231456514. The cubic root of 27689940 is about 302.5338713979.

The spelling of 27689940 in words is "twenty-seven million, six hundred eighty-nine thousand, nine hundred forty".