199204960 has 48 divisors (see below), whose sum is σ = 472088736. Its totient is φ = 79433728.

The previous prime is 199204927. The next prime is 199204969. The reversal of 199204960 is 69402991.

199204960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199204969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54717 + ... + 58243.

It is an arithmetic number, because the mean of its divisors is an integer number (9835182).

Almost surely, 2^199204960 is an apocalyptic number.

199204960 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 199204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236044368).

199204960 is an abundant number, since it is smaller than the sum of its proper divisors (272883776).

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

199204960 is a wasteful number, since it uses less digits than its factorization.

199204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 199204960 is about 14113.9987246705. The cubic root of 199204960 is about 584.0276148823.

The spelling of 199204960 in words is "one hundred ninety-nine million, two hundred four thousand, nine hundred sixty".