190564800 has 252 divisors, whose sum is σ = 664723080. Its totient is φ = 47738880.

The previous prime is 190564799. The next prime is 190564811. The reversal of 190564800 is 8465091.

190564800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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, 5150382 + ... + 5150418.

It is an arithmetic number, because the mean of its divisors is an integer number (2637790).

Almost surely, 2^190564800 is an apocalyptic number.

190564800 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 190564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332361540).

190564800 is an abundant number, since it is smaller than the sum of its proper divisors (474158280).

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

190564800 is a wasteful number, since it uses less digits than its factorization.

190564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 190564800 is about 13804.5209985714. The cubic root of 190564800 is about 575.4587894765.

The spelling of 190564800 in words is "one hundred ninety million, five hundred sixty-four thousand, eight hundred".