199158960 has 320 divisors, whose sum is σ = 829946880. Its totient is φ = 38154240.

The previous prime is 199158943. The next prime is 199158983. The reversal of 199158960 is 69851991.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239826 + ... + 240654.

It is an arithmetic number, because the mean of its divisors is an integer number (2593584).

Almost surely, 2^199158960 is an apocalyptic number.

199158960 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 199158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414973440).

199158960 is an abundant number, since it is smaller than the sum of its proper divisors (630787920).

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

199158960 is a wasteful number, since it uses less digits than its factorization.

199158960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 199158960 is about 14112.3690427936. The cubic root of 199158960 is about 583.9826572694.

The spelling of 199158960 in words is "one hundred ninety-nine million, one hundred fifty-eight thousand, nine hundred sixty".