18782112 has 48 divisors (see below), whose sum is σ = 49623840. Its totient is φ = 6220032.

The previous prime is 18782107. The next prime is 18782123. The reversal of 18782112 is 21128781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18782112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16638 + ... + 17730.

It is an arithmetic number, because the mean of its divisors is an integer number (1033830).

Almost surely, 2^18782112 is an apocalyptic number.

18782112 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 18782112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811920).

18782112 is an abundant number, since it is smaller than the sum of its proper divisors (30841728).

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

18782112 is a wasteful number, since it uses less digits than its factorization.

18782112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1277 counting only the distinct ones).

The product of its digits is 1792, while the sum is 30.

The square root of 18782112 is about 4333.8334070428. The cubic root of 18782112 is about 265.8162184278.

It can be divided in two parts, 1878 and 2112, that multiplied together give a triangular number (3966336 = T₂₈₁₆).

The spelling of 18782112 in words is "eighteen million, seven hundred eighty-two thousand, one hundred twelve".