199825920 has 480 divisors, whose sum is σ = 839678400. Its totient is φ = 44900352.

The previous prime is 199825877. The next prime is 199825943. The reversal of 199825920 is 29528991.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386851 + ... + 3386909.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2^199825920 is an apocalyptic number.

199825920 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 199825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419839200).

199825920 is an abundant number, since it is smaller than the sum of its proper divisors (639852480).

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

199825920 is an equidigital number, since it uses as much as digits as its factorization.

199825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 199825920 is about 14135.9796264709. The cubic root of 199825920 is about 584.6338273889.

The spelling of 199825920 in words is "one hundred ninety-nine million, eight hundred twenty-five thousand, nine hundred twenty".