27894000 has 80 divisors (see below), whose sum is σ = 89949600. Its totient is φ = 7436800.

The previous prime is 27893993. The next prime is 27894007. The reversal of 27894000 is 49872.

It is an interprime number because it is at equal distance from previous prime (27893993) and next prime (27894007).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27894007) 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, 3676 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^27894000 is an apocalyptic number.

27894000 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 27894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44974800).

27894000 is an abundant number, since it is smaller than the sum of its proper divisors (62055600).

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

27894000 is a wasteful number, since it uses less digits than its factorization.

27894000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 27894000 is about 5281.4770661246. The cubic root of 27894000 is about 303.2752240121.

The spelling of 27894000 in words is "twenty-seven million, eight hundred ninety-four thousand".