193973040 has 120 divisors (see below), whose sum is σ = 661313328. Its totient is φ = 50941440.

The previous prime is 193973027. The next prime is 193973047. The reversal of 193973040 is 40379391.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 193972986 and 193973004.

It is not an unprimeable number, because it can be changed into a prime (193973047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46230 + ... + 50250.

Almost surely, 2^193973040 is an apocalyptic number.

193973040 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 193973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330656664).

193973040 is an abundant number, since it is smaller than the sum of its proper divisors (467340288).

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

193973040 is a wasteful number, since it uses less digits than its factorization.

193973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4098 counting only the distinct ones).

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

The square root of 193973040 is about 13927.4204359601. The cubic root of 193973040 is about 578.8692197489.

The spelling of 193973040 in words is "one hundred ninety-three million, nine hundred seventy-three thousand, forty".