17993920 has 112 divisors (see below), whose sum is σ = 50840640. Its totient is φ = 5935104.

The previous prime is 17993917. The next prime is 17993929. The reversal of 17993920 is 2939971.

17993920 = T₃₆₅ + T₃₆₆ + ... + T₅₃₈.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (17993929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64822 + ... + 65098.

Almost surely, 2^17993920 is an apocalyptic number.

17993920 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 17993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420320).

17993920 is an abundant number, since it is smaller than the sum of its proper divisors (32846720).

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

17993920 is a wasteful number, since it uses less digits than its factorization.

17993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 17993920 is about 4241.9240917301. The cubic root of 17993920 is about 262.0446284911.

The spelling of 17993920 in words is "seventeen million, nine hundred ninety-three thousand, nine hundred twenty".