193931920 has 160 divisors (see below), whose sum is σ = 587962368. Its totient is φ = 57729024.

The previous prime is 193931909. The next prime is 193931951. The reversal of 193931920 is 29139391.

It is a self number, because there is not a number n which added to its sum of digits gives 193931920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122977 + ... + 124543.

Almost surely, 2^193931920 is an apocalyptic number.

193931920 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 193931920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293981184).

193931920 is an abundant number, since it is smaller than the sum of its proper divisors (394030448).

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

193931920 is a wasteful number, since it uses less digits than its factorization.

193931920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 193931920 is about 13925.9441331638. The cubic root of 193931920 is about 578.8283123724.

The spelling of 193931920 in words is "one hundred ninety-three million, nine hundred thirty-one thousand, nine hundred twenty".