193307940 has 288 divisors, whose sum is σ = 712857600. Its totient is φ = 42336000.

The previous prime is 193307929. The next prime is 193307987. The reversal of 193307940 is 49703391.

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

It is a junction number, because it is equal to n+sod(n) for n = 193307895 and 193307904.

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, 1913890 + ... + 1913990.

It is an arithmetic number, because the mean of its divisors is an integer number (2475200).

Almost surely, 2^193307940 is an apocalyptic number.

193307940 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 193307940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

193307940 is an abundant number, since it is smaller than the sum of its proper divisors (519549660).

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

193307940 is a wasteful number, since it uses less digits than its factorization.

193307940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 193307940 is about 13903.5225752325. The cubic root of 193307940 is about 578.2068479784.

The spelling of 193307940 in words is "one hundred ninety-three million, three hundred seven thousand, nine hundred forty".