193881240 has 288 divisors, whose sum is σ = 760266000. Its totient is φ = 42674688.

The previous prime is 193881239. The next prime is 193881271. The reversal of 193881240 is 42188391.

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 = 193881195 and 193881204.

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 71 ways as a sum of consecutive naturals, for example, 511371 + ... + 511749.

Almost surely, 2^193881240 is an apocalyptic number.

193881240 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 193881240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380133000).

193881240 is an abundant number, since it is smaller than the sum of its proper divisors (566384760).

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

193881240 is a wasteful number, since it uses less digits than its factorization.

193881240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193881240 is about 13924.1243889876. The cubic root of 193881240 is about 578.7778864728. Note that the first 3 decimals are identical.

The spelling of 193881240 in words is "one hundred ninety-three million, eight hundred eighty-one thousand, two hundred forty".