193840920 has 384 divisors, whose sum is σ = 796199040. Its totient is φ = 39813120.

The previous prime is 193840909. The next prime is 193840931. The reversal of 193840920 is 29048391.

193840920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (193840909) and next prime (193840931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1998312 + ... + 1998408.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^193840920 is an apocalyptic number.

193840920 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 193840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

193840920 is an abundant number, since it is smaller than the sum of its proper divisors (602358120).

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

193840920 is a wasteful number, since it uses less digits than its factorization.

193840920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 193840920 is about 13922.6764668292. The cubic root of 193840920 is about 578.7377623531.

The spelling of 193840920 in words is "one hundred ninety-three million, eight hundred forty thousand, nine hundred twenty".