199642968 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 53623296.

The previous prime is 199642957. The next prime is 199642973. The reversal of 199642968 is 869246991.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230905 + ... + 231767.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^199642968 is an apocalyptic number.

199642968 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 199642968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

199642968 is an abundant number, since it is smaller than the sum of its proper divisors (479668392).

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

199642968 is a wasteful number, since it uses less digits than its factorization.

199642968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 199642968 is about 14129.5069977689. The cubic root of 199642968 is about 584.4553510644.

The spelling of 199642968 in words is "one hundred ninety-nine million, six hundred forty-two thousand, nine hundred sixty-eight".