27114000 has 80 divisors (see below), whose sum is σ = 87434880. Its totient is φ = 7228800.

The previous prime is 27113923. The next prime is 27114023. The reversal of 27114000 is 41172.

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 (15).

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, 3741 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (1092936).

Almost surely, 2^27114000 is an apocalyptic number.

27114000 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 27114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43717440).

27114000 is an abundant number, since it is smaller than the sum of its proper divisors (60320880).

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

27114000 is a wasteful number, since it uses less digits than its factorization.

27114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 27114000 is about 5207.1105231212. The cubic root of 27114000 is about 300.4216293735.

Adding to 27114000 its reverse (41172), we get a palindrome (27155172).

The spelling of 27114000 in words is "twenty-seven million, one hundred fourteen thousand".