18745000 has 80 divisors (see below), whose sum is σ = 46110240. Its totient is φ = 7128000.

The previous prime is 18744997. The next prime is 18745007. The reversal of 18745000 is 54781.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18745007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114919 + ... + 115081.

It is an arithmetic number, because the mean of its divisors is an integer number (576378).

Almost surely, 2^18745000 is an apocalyptic number.

18745000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18745000 is the 2500-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23055120).

18745000 is an abundant number, since it is smaller than the sum of its proper divisors (27365240).

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

18745000 is a wasteful number, since it uses less digits than its factorization.

18745000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 18745000 is about 4329.5496301579. The cubic root of 18745000 is about 265.6410255614.

Adding to 18745000 its reverse (54781), we get a palindrome (18799781).

The spelling of 18745000 in words is "eighteen million, seven hundred forty-five thousand".