18680832 has 66 divisors (see below), whose sum is σ = 53967108. Its totient is φ = 6223872.

The previous prime is 18680803. The next prime is 18680861. The reversal of 18680832 is 23808681.

It is an interprime number because it is at equal distance from previous prime (18680803) and next prime (18680861).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8203 + ... + 10229.

Almost surely, 2^18680832 is an apocalyptic number.

18680832 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 18680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26983554).

18680832 is an abundant number, since it is smaller than the sum of its proper divisors (35286276).

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

18680832 is a wasteful number, since it uses less digits than its factorization.

18680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18680832 is about 4322.1328068443. The cubic root of 18680832 is about 265.3375643599.

Subtracting from 18680832 its product of nonzero digits (18432), we obtain a square (18662400 = 4320²).

It can be divided in two parts, 186 and 80832, that added together give a palindrome (81018).

The spelling of 18680832 in words is "eighteen million, six hundred eighty thousand, eight hundred thirty-two".