27942000 has 80 divisors (see below), whose sum is σ = 90104352. Its totient is φ = 7449600.

The previous prime is 27941983. The next prime is 27942007. The reversal of 27942000 is 24972.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27942007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672 + ... + 8328.

Almost surely, 2^27942000 is an apocalyptic number.

27942000 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 27942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45052176).

27942000 is an abundant number, since it is smaller than the sum of its proper divisors (62162352).

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

27942000 is a wasteful number, since it uses less digits than its factorization.

27942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 27942000 is about 5286.0192962190. The cubic root of 27942000 is about 303.4490830106.

Adding to 27942000 its reverse (24972), we get a palindrome (27966972).

The spelling of 27942000 in words is "twenty-seven million, nine hundred forty-two thousand".