199507968 has 240 divisors, whose sum is σ = 660582720. Its totient is φ = 58982400.

The previous prime is 199507967. The next prime is 199507981. The reversal of 199507968 is 869705991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199507963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866028 + ... + 4866068.

It is an arithmetic number, because the mean of its divisors is an integer number (2752428).

Almost surely, 2^199507968 is an apocalyptic number.

199507968 is a gapful number since it is divisible by the number (18) 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 199507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330291360).

199507968 is an abundant number, since it is smaller than the sum of its proper divisors (461074752).

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

199507968 is an equidigital number, since it uses as much as digits as its factorization.

199507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 199507968 is about 14124.7289531516. The cubic root of 199507968 is about 584.3235837325.

The spelling of 199507968 in words is "one hundred ninety-nine million, five hundred seven thousand, nine hundred sixty-eight".