190091200 has 252 divisors, whose sum is σ = 547557960. Its totient is φ = 64696320.

The previous prime is 190091179. The next prime is 190091227. The reversal of 190091200 is 2190091.

190091200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×190091200² = 72269328634880000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 5137582 + ... + 5137618.

Almost surely, 2^190091200 is an apocalyptic number.

190091200 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 190091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273778980).

190091200 is an abundant number, since it is smaller than the sum of its proper divisors (357466760).

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

190091200 is a wasteful number, since it uses less digits than its factorization.

190091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 190091200 is about 13787.3565269054. The cubic root of 190091200 is about 574.9816755345.

The spelling of 190091200 in words is "one hundred ninety million, ninety-one thousand, two hundred".