18820032 has 224 divisors, whose sum is σ = 66324480. Its totient is φ = 4561920.

The previous prime is 18820031. The next prime is 18820063. The reversal of 18820032 is 23002881.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 18819984 and 18820011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18820031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280863 + ... + 280929.

Almost surely, 2^18820032 is an apocalyptic number.

18820032 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 18820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

18820032 is an abundant number, since it is smaller than the sum of its proper divisors (47504448).

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

18820032 is a wasteful number, since it uses less digits than its factorization.

18820032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 18820032 is about 4338.2060808588. The cubic root of 18820032 is about 265.9949873742.

The spelling of 18820032 in words is "eighteen million, eight hundred twenty thousand, thirty-two".