199714320 has 240 divisors, whose sum is σ = 760992960. Its totient is φ = 46531584.

The previous prime is 199714297. The next prime is 199714381. The reversal of 199714320 is 23417991.

199714320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×199714320² = 79771619226124800, which contains 22 as substring.

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

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, 177279 + ... + 178401.

It is an arithmetic number, because the mean of its divisors is an integer number (3170804).

Almost surely, 2^199714320 is an apocalyptic number.

199714320 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 199714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380496480).

199714320 is an abundant number, since it is smaller than the sum of its proper divisors (561278640).

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

199714320 is a wasteful number, since it uses less digits than its factorization.

199714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 199714320 is about 14132.0317010683. The cubic root of 199714320 is about 584.5249704981.

The spelling of 199714320 in words is "one hundred ninety-nine million, seven hundred fourteen thousand, three hundred twenty".