193099920 has 160 divisors (see below), whose sum is σ = 656208000. Its totient is φ = 46682112.

The previous prime is 193099919. The next prime is 193099967. The reversal of 193099920 is 29990391.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183556 + ... + 184604.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^193099920 is an apocalyptic number.

193099920 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 193099920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104000).

193099920 is an abundant number, since it is smaller than the sum of its proper divisors (463108080).

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

193099920 is a wasteful number, since it uses less digits than its factorization.

193099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 42.

The square root of 193099920 is about 13896.0397236047. The cubic root of 193099920 is about 577.9993694194. Note that the first 3 decimals are identical.

The spelling of 193099920 in words is "one hundred ninety-three million, ninety-nine thousand, nine hundred twenty".