190834320 has 80 divisors (see below), whose sum is σ = 601657920. Its totient is φ = 50022912.

The previous prime is 190834313. The next prime is 190834321. The reversal of 190834320 is 23438091.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (190834321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7422 + ... + 20898.

It is an arithmetic number, because the mean of its divisors is an integer number (7520724).

Almost surely, 2^190834320 is an apocalyptic number.

190834320 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 190834320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300828960).

190834320 is an abundant number, since it is smaller than the sum of its proper divisors (410823600).

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

190834320 is a wasteful number, since it uses less digits than its factorization.

190834320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13552 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 190834320 is about 13814.2795686203. The cubic root of 190834320 is about 575.7299563639.

The spelling of 190834320 in words is "one hundred ninety million, eight hundred thirty-four thousand, three hundred twenty".