18679872 has 112 divisors (see below), whose sum is σ = 53766720. Its totient is φ = 5701632.

The previous prime is 18679861. The next prime is 18679873. The reversal of 18679872 is 27897681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18679873) by changing a digit.

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, 192528 + ... + 192624.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 2^18679872 is an apocalyptic number.

18679872 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 18679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360).

18679872 is an abundant number, since it is smaller than the sum of its proper divisors (35086848).

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

18679872 is a wasteful number, since it uses less digits than its factorization.

18679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 18679872 is about 4322.0217491355. The cubic root of 18679872 is about 265.3330190872. Note that the first 3 decimals are identical.

The spelling of 18679872 in words is "eighteen million, six hundred seventy-nine thousand, eight hundred seventy-two".