18768360 has 128 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 4512768.

The previous prime is 18768359. The next prime is 18768367. The reversal of 18768360 is 6386781.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (18768367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82567 + ... + 82793.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 2^18768360 is an apocalyptic number.

18768360 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 18768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

18768360 is an abundant number, since it is smaller than the sum of its proper divisors (43284120).

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

18768360 is a wasteful number, since it uses less digits than its factorization.

18768360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 18768360 is about 4332.2465303812. The cubic root of 18768360 is about 265.7513269472.

The spelling of 18768360 in words is "eighteen million, seven hundred sixty-eight thousand, three hundred sixty".