199952060 has 96 divisors (see below), whose sum is σ = 527482368. Its totient is φ = 61850880.

The previous prime is 199952059. The next prime is 199952069. The reversal of 199952060 is 60259991.

It is a junction number, because it is equal to n+sod(n) for n = 199951999 and 199952017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199952069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241367 + ... + 242193.

It is an arithmetic number, because the mean of its divisors is an integer number (5494608).

Almost surely, 2^199952060 is an apocalyptic number.

199952060 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 199952060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263741184).

199952060 is an abundant number, since it is smaller than the sum of its proper divisors (327530308).

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

199952060 is a wasteful number, since it uses less digits than its factorization.

199952060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The square root of 199952060 is about 14140.4405871953. The cubic root of 199952060 is about 584.7568181052.

It can be divided in two parts, 199 and 952060, that added together give a palindrome (952259).

The spelling of 199952060 in words is "one hundred ninety-nine million, nine hundred fifty-two thousand, sixty".