193868640 has 240 divisors, whose sum is σ = 782302752. Its totient is φ = 44292096.

The previous prime is 193868621. The next prime is 193868657. The reversal of 193868640 is 46868391.

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 (45).

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 39 ways as a sum of consecutive naturals, for example, 89652 + ... + 91788.

Almost surely, 2^193868640 is an apocalyptic number.

193868640 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 193868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391151376).

193868640 is an abundant number, since it is smaller than the sum of its proper divisors (588434112).

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

193868640 is a wasteful number, since it uses less digits than its factorization.

193868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 193868640 is about 13923.6719294876. The cubic root of 193868640 is about 578.7653482830.

The spelling of 193868640 in words is "one hundred ninety-three million, eight hundred sixty-eight thousand, six hundred forty".