17968020 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 4066944.

The previous prime is 17968019. The next prime is 17968021. The reversal of 17968020 is 2086971.

It is an interprime number because it is at equal distance from previous prime (17968019) and next prime (17968021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17968021) 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, 75061 + ... + 75299.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^17968020 is an apocalyptic number.

17968020 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 17968020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

17968020 is an abundant number, since it is smaller than the sum of its proper divisors (40092780).

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

17968020 is a wasteful number, since it uses less digits than its factorization.

17968020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 17968020 is about 4238.8701324763. The cubic root of 17968020 is about 261.9188412843.

It can be divided in two parts, 179680 and 20, that added together give a triangular number (179700 = T₅₉₉).

The spelling of 17968020 in words is "seventeen million, nine hundred sixty-eight thousand, twenty".