18334080 has 128 divisors (see below), whose sum is σ = 64994400. Its totient is φ = 4884480.

The previous prime is 18334027. The next prime is 18334087. The reversal of 18334080 is 8043381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×18334080² = 672276978892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18334087) 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, 16750 + ... + 17810.

Almost surely, 2^18334080 is an apocalyptic number.

18334080 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 18334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497200).

18334080 is an abundant number, since it is smaller than the sum of its proper divisors (46660320).

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

18334080 is a wasteful number, since it uses less digits than its factorization.

18334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18334080 is about 4281.8313838824. The cubic root of 18334080 is about 263.6855760831.

The spelling of 18334080 in words is "eighteen million, three hundred thirty-four thousand, eighty".