27946000 has 80 divisors (see below), whose sum is σ = 68767920. Its totient is φ = 10982400.

The previous prime is 27945997. The next prime is 27946027. The reversal of 27946000 is 64972.

It can be written as a sum of positive squares in 8 ways, for example, as 16548624 + 11397376 = 4068^2 + 3376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 27946000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177922 + ... + 178078.

It is an arithmetic number, because the mean of its divisors is an integer number (859599).

Almost surely, 2^27946000 is an apocalyptic number.

27946000 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 27946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34383960).

27946000 is an abundant number, since it is smaller than the sum of its proper divisors (40821920).

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

27946000 is a wasteful number, since it uses less digits than its factorization.

27946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 27946000 is about 5286.3976392247. The cubic root of 27946000 is about 303.4635622702.

The spelling of 27946000 in words is "twenty-seven million, nine hundred forty-six thousand".