199016832 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 56824320.

The previous prime is 199016827. The next prime is 199016833. The reversal of 199016832 is 238610991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199016833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130957 + ... + 132467.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2^199016832 is an apocalyptic number.

199016832 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 199016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

199016832 is an abundant number, since it is smaller than the sum of its proper divisors (417879168).

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

199016832 is an equidigital number, since it uses as much as digits as its factorization.

199016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 199016832 is about 14107.3325614731. The cubic root of 199016832 is about 583.8437062207.

The spelling of 199016832 in words is "one hundred ninety-nine million, sixteen thousand, eight hundred thirty-two".