17982020 has 72 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 6041280.

The previous prime is 17982011. The next prime is 17982023. The reversal of 17982020 is 2028971.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (17982023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57665 + ... + 57975.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^17982020 is an apocalyptic number.

17982020 is a gapful number since it is divisible by the number (10) 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 17982020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

17982020 is an abundant number, since it is smaller than the sum of its proper divisors (26833660).

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

17982020 is a wasteful number, since it uses less digits than its factorization.

17982020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 17982020 is about 4240.5211943817. The cubic root of 17982020 is about 261.9868493681.

The spelling of 17982020 in words is "seventeen million, nine hundred eighty-two thousand, twenty".