18342000 has 120 divisors (see below), whose sum is σ = 64125360. Its totient is φ = 4886400.

The previous prime is 18341969. The next prime is 18342013. The reversal of 18342000 is 24381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17491 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (534378).

Almost surely, 2^18342000 is an apocalyptic number.

18342000 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 18342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32062680).

18342000 is an abundant number, since it is smaller than the sum of its proper divisors (45783360).

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

18342000 is a wasteful number, since it uses less digits than its factorization.

18342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18342000 is about 4282.7561219383. The cubic root of 18342000 is about 263.7235397937.

Adding to 18342000 its reverse (24381), we get a palindrome (18366381).

The spelling of 18342000 in words is "eighteen million, three hundred forty-two thousand".