199740160 has 144 divisors (see below), whose sum is σ = 518031360. Its totient is φ = 73543680.

The previous prime is 199740113. The next prime is 199740173. The reversal of 199740160 is 61047991.

199740160 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 2×199740160² = 79792263033651200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1045665 + ... + 1045855.

It is an arithmetic number, because the mean of its divisors is an integer number (3597440).

Almost surely, 2^199740160 is an apocalyptic number.

199740160 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 199740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

199740160 is an abundant number, since it is smaller than the sum of its proper divisors (318291200).

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

199740160 is a wasteful number, since it uses less digits than its factorization.

199740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 199740160 is about 14132.9459066396. The cubic root of 199740160 is about 584.5501789623.

The spelling of 199740160 in words is "one hundred ninety-nine million, seven hundred forty thousand, one hundred sixty".