193091040 has 240 divisors, whose sum is σ = 698144832. Its totient is φ = 50236416.

The previous prime is 193091021. The next prime is 193091057. The reversal of 193091040 is 40190391.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 193090995 and 193091013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608962 + ... + 609278.

Almost surely, 2^193091040 is an apocalyptic number.

193091040 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 193091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349072416).

193091040 is an abundant number, since it is smaller than the sum of its proper divisors (505053792).

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

193091040 is a wasteful number, since it uses less digits than its factorization.

193091040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 193091040 is about 13895.7202044370. The cubic root of 193091040 is about 577.9905092171.

The spelling of 193091040 in words is "one hundred ninety-three million, ninety-one thousand, forty".