18825800 has 144 divisors (see below), whose sum is σ = 54388260. Its totient is φ = 6021120.

The previous prime is 18825797. The next prime is 18825809. The reversal of 18825800 is 852881.

It can be written as a sum of positive squares in 6 ways, for example, as 3786916 + 15038884 = 1946^2 + 3878^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18825809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166544 + ... + 166656.

Almost surely, 2^18825800 is an apocalyptic number.

18825800 is a gapful number since it is divisible by the number (10) 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 18825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194130).

18825800 is an abundant number, since it is smaller than the sum of its proper divisors (35562460).

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

18825800 is a wasteful number, since it uses less digits than its factorization.

18825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 18825800 is about 4338.8708208473. The cubic root of 18825800 is about 266.0221588189.

The spelling of 18825800 in words is "eighteen million, eight hundred twenty-five thousand, eight hundred".