193420800 has 360 divisors, whose sum is σ = 732189744. Its totient is φ = 48660480.

The previous prime is 193420789. The next prime is 193420831. The reversal of 193420800 is 8024391.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649564 + ... + 2649636.

Almost surely, 2^193420800 is an apocalyptic number.

193420800 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 193420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366094872).

193420800 is an abundant number, since it is smaller than the sum of its proper divisors (538768944).

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

193420800 is a wasteful number, since it uses less digits than its factorization.

193420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 193420800 is about 13907.5806666724. The cubic root of 193420800 is about 578.3193519437.

The spelling of 193420800 in words is "one hundred ninety-three million, four hundred twenty thousand, eight hundred".