193099872 has 96 divisors (see below), whose sum is σ = 613412352. Its totient is φ = 51922944.

The previous prime is 193099871. The next prime is 193099877. The reversal of 193099872 is 278990391.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193099871) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (6389712).

Almost surely, 2^193099872 is an apocalyptic number.

193099872 is a gapful number since it is divisible by the number (12) 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 193099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306706176).

193099872 is an abundant number, since it is smaller than the sum of its proper divisors (420312480).

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

193099872 is a wasteful number, since it uses less digits than its factorization.

193099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16940 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 193099872 is about 13896.0379964938. The cubic root of 193099872 is about 577.9993215271. Note that the first 3 decimals are identical.

The spelling of 193099872 in words is "one hundred ninety-three million, ninety-nine thousand, eight hundred seventy-two".