18073760 has 96 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 6773760.

The previous prime is 18073747. The next prime is 18073763. The reversal of 18073760 is 6737081.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (18073763) 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, 254525 + ... + 254595.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 2^18073760 is an apocalyptic number.

18073760 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 18073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

18073760 is an abundant number, since it is smaller than the sum of its proper divisors (27431392).

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

18073760 is a wasteful number, since it uses less digits than its factorization.

18073760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 18073760 is about 4251.3244994942. The cubic root of 18073760 is about 262.4316254268.

The spelling of 18073760 in words is "eighteen million, seventy-three thousand, seven hundred sixty".