18492768 has 72 divisors (see below), whose sum is σ = 60108048. Its totient is φ = 5283072.

The previous prime is 18492767. The next prime is 18492779. The reversal of 18492768 is 86729481.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18492767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571 + ... + 6602.

It is an arithmetic number, because the mean of its divisors is an integer number (834834).

Almost surely, 2^18492768 is an apocalyptic number.

18492768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18492768 is an abundant number, since it is smaller than the sum of its proper divisors (41615280).

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

18492768 is a wasteful number, since it uses less digits than its factorization.

18492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 9185 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 18492768 is about 4300.3218484202. The cubic root of 18492768 is about 264.4441559104. Note that the first 3 decimals are identical.

The spelling of 18492768 in words is "eighteen million, four hundred ninety-two thousand, seven hundred sixty-eight".