199657920 has 448 divisors, whose sum is σ = 822813696. Its totient is φ = 39813120.

The previous prime is 199657907. The next prime is 199657937. The reversal of 199657920 is 29756991.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199657920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735004 + ... + 2735076.

Almost surely, 2^199657920 is an apocalyptic number.

199657920 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 199657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411406848).

199657920 is an abundant number, since it is smaller than the sum of its proper divisors (623155776).

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

199657920 is a wasteful number, since it uses less digits than its factorization.

199657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The square root of 199657920 is about 14130.0360933722. The cubic root of 199657920 is about 584.4699413742.

The spelling of 199657920 in words is "one hundred ninety-nine million, six hundred fifty-seven thousand, nine hundred twenty".