199293696 has 180 divisors, whose sum is σ = 679646352. Its totient is φ = 56899584.

The previous prime is 199293659. The next prime is 199293697. The reversal of 199293696 is 696392991.

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 not an unprimeable number, because it can be changed into a prime (199293697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144466 + ... + 145838.

Almost surely, 2^199293696 is an apocalyptic number.

199293696 is a gapful number since it is divisible by the number (16) 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 199293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339823176).

199293696 is an abundant number, since it is smaller than the sum of its proper divisors (480352656).

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

199293696 is an equidigital number, since it uses as much as digits as its factorization.

199293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1385 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 199293696 is about 14117.1419203747. The cubic root of 199293696 is about 584.1143205234.

The spelling of 199293696 in words is "one hundred ninety-nine million, two hundred ninety-three thousand, six hundred ninety-six".