193955040 has 384 divisors, whose sum is σ = 762048000. Its totient is φ = 45785088.

The previous prime is 193955009. The next prime is 193955053. The reversal of 193955040 is 40559391.

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 = 193954986 and 193955004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395291 + ... + 1395429.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^193955040 is an apocalyptic number.

193955040 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 193955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

193955040 is an abundant number, since it is smaller than the sum of its proper divisors (568092960).

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

193955040 is a wasteful number, since it uses less digits than its factorization.

193955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 193955040 is about 13926.7742137223. The cubic root of 193955040 is about 578.8513135349.

The spelling of 193955040 in words is "one hundred ninety-three million, nine hundred fifty-five thousand, forty".