18875120 has 80 divisors (see below), whose sum is σ = 48612960. Its totient is φ = 6758400.

The previous prime is 18875119. The next prime is 18875147. The reversal of 18875120 is 2157881.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78200 + ... + 78440.

It is an arithmetic number, because the mean of its divisors is an integer number (607662).

Almost surely, 2^18875120 is an apocalyptic number.

18875120 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 18875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306480).

18875120 is an abundant number, since it is smaller than the sum of its proper divisors (29737840).

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

18875120 is a wasteful number, since it uses less digits than its factorization.

18875120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 18875120 is about 4344.5506096718. The cubic root of 18875120 is about 266.2542653258.

It can be divided in two parts, 1887 and 5120, that added together give a palindrome (7007).

The spelling of 18875120 in words is "eighteen million, eight hundred seventy-five thousand, one hundred twenty".