199579842 has 96 divisors (see below), whose sum is σ = 562904640. Its totient is φ = 51831360.

The previous prime is 199579799. The next prime is 199579843. The reversal of 199579842 is 248975991.

199579842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199579842² = 79664226665489928, which contains 22 as substring.

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 (199579843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25678 + ... + 32534.

It is an arithmetic number, because the mean of its divisors is an integer number (5863590).

Almost surely, 2^199579842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199579842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281452320).

199579842 is an abundant number, since it is smaller than the sum of its proper divisors (363324798).

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

199579842 is a wasteful number, since it uses less digits than its factorization.

199579842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6880 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 199579842 is about 14127.2729852580. The cubic root of 199579842 is about 584.3937440564.

The spelling of 199579842 in words is "one hundred ninety-nine million, five hundred seventy-nine thousand, eight hundred forty-two".