199553760 has 192 divisors, whose sum is σ = 798336000. Its totient is φ = 45605376.

The previous prime is 199553759. The next prime is 199553777. The reversal of 199553760 is 67355991.

199553760 is a `hidden beast` number, since 1 + 99 + 553 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 26941 + ... + 33539.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^199553760 is an apocalyptic number.

199553760 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 199553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

199553760 is an abundant number, since it is smaller than the sum of its proper divisors (598782240).

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

199553760 is a wasteful number, since it uses less digits than its factorization.

199553760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6630 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 199553760 is about 14126.3498470058. The cubic root of 199553760 is about 584.3682858714.

It can be divided in two parts, 1995 and 53760, that added together give a palindrome (55755).

The spelling of 199553760 in words is "one hundred ninety-nine million, five hundred fifty-three thousand, seven hundred sixty".