18123768 has 144 divisors (see below), whose sum is σ = 56991480. Its totient is φ = 5170176.

The previous prime is 18123761. The next prime is 18123773. The reversal of 18123768 is 86732181.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (16128) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18123761) 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, 270471 + ... + 270537.

Almost surely, 2^18123768 is an apocalyptic number.

18123768 is a gapful number since it is divisible by the number (18) 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 18123768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28495740).

18123768 is an abundant number, since it is smaller than the sum of its proper divisors (38867712).

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

18123768 is a wasteful number, since it uses less digits than its factorization.

18123768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18123768 is about 4257.2018979607. The cubic root of 18123768 is about 262.6734418390.

The spelling of 18123768 in words is "eighteen million, one hundred twenty-three thousand, seven hundred sixty-eight".