199132560 has 480 divisors, whose sum is σ = 822268800. Its totient is φ = 43868160.

The previous prime is 199132553. The next prime is 199132603. The reversal of 199132560 is 65231991.

199132560 is a `hidden beast` number, since 1 + 9 + 91 + 3 + 2 + 560 = 666.

199132560 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6866626 + ... + 6866654.

It is an arithmetic number, because the mean of its divisors is an integer number (1713060).

Almost surely, 2^199132560 is an apocalyptic number.

199132560 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 199132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411134400).

199132560 is an abundant number, since it is smaller than the sum of its proper divisors (623136240).

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

199132560 is a wasteful number, since it uses less digits than its factorization.

199132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 199132560 is about 14111.4336621053. The cubic root of 199132560 is about 583.9568523824.

The spelling of 199132560 in words is "one hundred ninety-nine million, one hundred thirty-two thousand, five hundred sixty".