193801920 has 224 divisors, whose sum is σ = 677460672. Its totient is φ = 46645248.

The previous prime is 193801913. The next prime is 193801943. The reversal of 193801920 is 29108391.

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, 661294 + ... + 661586.

It is an arithmetic number, because the mean of its divisors is an integer number (3024378).

Almost surely, 2^193801920 is an apocalyptic number.

193801920 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 193801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338730336).

193801920 is an abundant number, since it is smaller than the sum of its proper divisors (483658752).

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

193801920 is a wasteful number, since it uses less digits than its factorization.

193801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

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

The square root of 193801920 is about 13921.2758036036. The cubic root of 193801920 is about 578.6989465265.

The spelling of 193801920 in words is "one hundred ninety-three million, eight hundred one thousand, nine hundred twenty".