199953792 has 128 divisors (see below), whose sum is σ = 603187200. Its totient is φ = 65180160.

The previous prime is 199953781. The next prime is 199953799. The reversal of 199953792 is 297359991.

199953792 is a `hidden beast` number, since 19 + 9 + 9 + 537 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199953799) 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 15 ways as a sum of consecutive naturals, for example, 161817 + ... + 163047.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^199953792 is an apocalyptic number.

199953792 is a gapful number since it is divisible by the number (12) 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 199953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301593600).

199953792 is an abundant number, since it is smaller than the sum of its proper divisors (403233408).

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

199953792 is a wasteful number, since it uses less digits than its factorization.

199953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1283 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 199953792 is about 14140.5018298503. The cubic root of 199953792 is about 584.7585065031.

The spelling of 199953792 in words is "one hundred ninety-nine million, nine hundred fifty-three thousand, seven hundred ninety-two".