199387920 has 160 divisors (see below), whose sum is σ = 661457664. Its totient is φ = 49561600.

The previous prime is 199387907. The next prime is 199387987. The reversal of 199387920 is 29783991.

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 199387920.

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 31 ways as a sum of consecutive naturals, for example, 225880 + ... + 226760.

Almost surely, 2^199387920 is an apocalyptic number.

199387920 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 199387920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330728832).

199387920 is an abundant number, since it is smaller than the sum of its proper divisors (462069744).

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

199387920 is a wasteful number, since it uses less digits than its factorization.

199387920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 199387920 is about 14120.4787454250. The cubic root of 199387920 is about 584.2063604246.

The spelling of 199387920 in words is "one hundred ninety-nine million, three hundred eighty-seven thousand, nine hundred twenty".