18193920 has 160 divisors (see below), whose sum is σ = 61281792. Its totient is φ = 4595712.

The previous prime is 18193913. The next prime is 18193957. The reversal of 18193920 is 2939181.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176589 + ... + 176691.

Almost surely, 2^18193920 is an apocalyptic number.

18193920 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 18193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640896).

18193920 is an abundant number, since it is smaller than the sum of its proper divisors (43087872).

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

18193920 is a wasteful number, since it uses less digits than its factorization.

18193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 18193920 is about 4265.4331550266. The cubic root of 18193920 is about 263.0119171302.

The spelling of 18193920 in words is "eighteen million, one hundred ninety-three thousand, nine hundred twenty".