18768200 has 96 divisors (see below), whose sum is σ = 50220000. Its totient is φ = 6451200.

The previous prime is 18768193. The next prime is 18768203. The reversal of 18768200 is 286781.

18768200 = T₄₁₉ + T₄₂₀ + ... + T₅₇₀.

It is not an unprimeable number, because it can be changed into a prime (18768203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41576 + ... + 42024.

It is an arithmetic number, because the mean of its divisors is an integer number (523125).

Almost surely, 2^18768200 is an apocalyptic number.

18768200 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 18768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25110000).

18768200 is an abundant number, since it is smaller than the sum of its proper divisors (31451800).

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

18768200 is a wasteful number, since it uses less digits than its factorization.

18768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 18768200 is about 4332.2280641721. The cubic root of 18768200 is about 265.7505717696.

The spelling of 18768200 in words is "eighteen million, seven hundred sixty-eight thousand, two hundred".