27485000 has 80 divisors (see below), whose sum is σ = 67478400. Its totient is φ = 10472000.

The previous prime is 27484999. The next prime is 27485009. The reversal of 27485000 is 58472.

It is a hoax number, since the sum of its digits (26) 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 (27485009) 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 19 ways as a sum of consecutive naturals, for example, 114881 + ... + 115119.

It is an arithmetic number, because the mean of its divisors is an integer number (843480).

Almost surely, 2^27485000 is an apocalyptic number.

27485000 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 27485000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739200).

27485000 is an abundant number, since it is smaller than the sum of its proper divisors (39993400).

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

27485000 is a wasteful number, since it uses less digits than its factorization.

27485000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 27485000 is about 5242.6138518872. The cubic root of 27485000 is about 301.7856467611.

The spelling of 27485000 in words is "twenty-seven million, four hundred eighty-five thousand".