18883872 has 288 divisors, whose sum is σ = 70761600. Its totient is φ = 4644864.

The previous prime is 18883849. The next prime is 18883873. The reversal of 18883872 is 27838881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18883873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651154 + ... + 651182.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^18883872 is an apocalyptic number.

18883872 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 18883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

18883872 is an abundant number, since it is smaller than the sum of its proper divisors (51877728).

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

18883872 is a wasteful number, since it uses less digits than its factorization.

18883872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 18883872 is about 4345.5577317532. The cubic root of 18883872 is about 266.2954111527.

The spelling of 18883872 in words is "eighteen million, eight hundred eighty-three thousand, eight hundred seventy-two".