27861800 has 24 divisors (see below), whose sum is σ = 64779150. Its totient is φ = 11144640.

The previous prime is 27861787. The next prime is 27861803. The reversal of 27861800 is 816872.

It can be written as a sum of positive squares in 3 ways, for example, as 24542116 + 3319684 = 4954^2 + 1822^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27861803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69455 + ... + 69854.

Almost surely, 2^27861800 is an apocalyptic number.

27861800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27861800 is an abundant number, since it is smaller than the sum of its proper divisors (36917350).

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

27861800 is a wasteful number, since it uses less digits than its factorization.

27861800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139325 (or 139316 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 27861800 is about 5278.4277962287. The cubic root of 27861800 is about 303.1584817942.

The spelling of 27861800 in words is "twenty-seven million, eight hundred sixty-one thousand, eight hundred".