199875060 has 576 divisors, whose sum is σ = 858009600. Its totient is φ = 37635840.

The previous prime is 199875059. The next prime is 199875077. The reversal of 199875060 is 60578991.

It is a super-2 number, since 2×199875060² = 79900079220007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 199874997 and 199875015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8690209 + ... + 8690231.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2^199875060 is an apocalyptic number.

199875060 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 199875060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

199875060 is an abundant number, since it is smaller than the sum of its proper divisors (658134540).

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

199875060 is a wasteful number, since it uses less digits than its factorization.

199875060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 199875060 is about 14137.7176375821. The cubic root of 199875060 is about 584.6817466840.

The spelling of 199875060 in words is "one hundred ninety-nine million, eight hundred seventy-five thousand, sixty".