199953740 has 96 divisors (see below), whose sum is σ = 493516800. Its totient is φ = 66643200.

The previous prime is 199953727. The next prime is 199953769. The reversal of 199953740 is 47359991.

199953740 = T₁₆₉ + T₁₇₀ + ... + T₁₀₆₃.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116971 + ... + 1117149.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^199953740 is an apocalyptic number.

199953740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 14140×14141.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199953740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

199953740 is an abundant number, since it is smaller than the sum of its proper divisors (293563060).

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

199953740 is a wasteful number, since it uses less digits than its factorization.

199953740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 199953740 is about 14140.4999911601. The cubic root of 199953740 is about 584.7584558123.

The spelling of 199953740 in words is "one hundred ninety-nine million, nine hundred fifty-three thousand, seven hundred forty".