18864120 has 128 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 4416000.

The previous prime is 18864119. The next prime is 18864121. The reversal of 18864120 is 2146881.

It is an interprime number because it is at equal distance from previous prime (18864119) and next prime (18864121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18864121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40690 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^18864120 is an apocalyptic number.

18864120 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 18864120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

18864120 is an abundant number, since it is smaller than the sum of its proper divisors (45002760).

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

18864120 is a wasteful number, since it uses less digits than its factorization.

18864120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18864120 is about 4343.2844714571. The cubic root of 18864120 is about 266.2025329209.

It can be divided in two parts, 1886 and 4120, that added together give a palindrome (6006).

The spelling of 18864120 in words is "eighteen million, eight hundred sixty-four thousand, one hundred twenty".