199312920 has 128 divisors (see below), whose sum is σ = 668736000. Its totient is φ = 52801920.

The previous prime is 199312909. The next prime is 199312937. The reversal of 199312920 is 29213991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192805 + ... + 193835.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2^199312920 is an apocalyptic number.

199312920 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 199312920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334368000).

199312920 is an abundant number, since it is smaller than the sum of its proper divisors (469423080).

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

199312920 is a wasteful number, since it uses less digits than its factorization.

199312920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 199312920 is about 14117.8227783182. The cubic root of 199312920 is about 584.1331012691.

The spelling of 199312920 in words is "one hundred ninety-nine million, three hundred twelve thousand, nine hundred twenty".