199237920 has 288 divisors, whose sum is σ = 750835008. Its totient is φ = 44255232.

The previous prime is 199237897. The next prime is 199237957. The reversal of 199237920 is 29732991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011262 + ... + 1011458.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^199237920 is an apocalyptic number.

199237920 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 199237920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375417504).

199237920 is an abundant number, since it is smaller than the sum of its proper divisors (551597088).

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

199237920 is a wasteful number, since it uses less digits than its factorization.

199237920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 199237920 is about 14115.1663114538. The cubic root of 199237920 is about 584.0598237333.

The spelling of 199237920 in words is "one hundred ninety-nine million, two hundred thirty-seven thousand, nine hundred twenty".