18876000 has 288 divisors, whose sum is σ = 73198944. Its totient is φ = 4224000.

The previous prime is 18875971. The next prime is 18876007. The reversal of 18876000 is 67881.

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 (18876007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451994 + ... + 1452006.

It is an arithmetic number, because the mean of its divisors is an integer number (254163).

Almost surely, 2^18876000 is an apocalyptic number.

18876000 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 18876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

18876000 is an abundant number, since it is smaller than the sum of its proper divisors (54322944).

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

18876000 is a wasteful number, since it uses less digits than its factorization.

18876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 18876000 is about 4344.6518847889. The cubic root of 18876000 is about 266.2584030498.

It can be divided in two parts, 1887 and 6000, that added together give a palindrome (7887).

The spelling of 18876000 in words is "eighteen million, eight hundred seventy-six thousand".