18768048 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 5467392.

The previous prime is 18768047. The next prime is 18768049. The reversal of 18768048 is 84086781.

It is an interprime number because it is at equal distance from previous prime (18768047) and next prime (18768049).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (18768047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11065 + ... + 12647.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^18768048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18768048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

18768048 is an abundant number, since it is smaller than the sum of its proper divisors (36228432).

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

18768048 is a wasteful number, since it uses less digits than its factorization.

18768048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 18768048 is about 4332.2105212005. The cubic root of 18768048 is about 265.7498543470.

The spelling of 18768048 in words is "eighteen million, seven hundred sixty-eight thousand, forty-eight".