18142960 has 80 divisors (see below), whose sum is σ = 47005920. Its totient is φ = 6456320.

The previous prime is 18142937. The next prime is 18142963. The reversal of 18142960 is 6924181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18142963) 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, 46446 + ... + 46834.

It is an arithmetic number, because the mean of its divisors is an integer number (587574).

Almost surely, 2^18142960 is an apocalyptic number.

18142960 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 18142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502960).

18142960 is an abundant number, since it is smaller than the sum of its proper divisors (28862960).

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

18142960 is a wasteful number, since it uses less digits than its factorization.

18142960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 18142960 is about 4259.4553642455. The cubic root of 18142960 is about 262.7661276846.

It can be divided in two parts, 1814 and 2960, that added together give a palindrome (4774).

The spelling of 18142960 in words is "eighteen million, one hundred forty-two thousand, nine hundred sixty".