18829872 has 60 divisors (see below), whose sum is σ = 53940744. Its totient is φ = 6128640.

The previous prime is 18829861. The next prime is 18829873. The reversal of 18829872 is 27892881.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (18829873) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4672 + ... + 7712.

Almost surely, 2^18829872 is an apocalyptic number.

18829872 is a gapful number since it is divisible by the number (12) 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 18829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26970372).

18829872 is an abundant number, since it is smaller than the sum of its proper divisors (35110872).

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

18829872 is a wasteful number, since it uses less digits than its factorization.

18829872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3089 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 18829872 is about 4339.3400419880. The cubic root of 18829872 is about 266.0413375370.

It can be divided in two parts, 18829 and 872, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 18829872 in words is "eighteen million, eight hundred twenty-nine thousand, eight hundred seventy-two".