190264320 has 132 divisors (see below), whose sum is σ = 659420580. Its totient is φ = 50724864.

The previous prime is 190264279. The next prime is 190264369. The reversal of 190264320 is 23462091.

190264320 is a `hidden beast` number, since 19 + 0 + 2 + 643 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 103550976 = 9312^2 + 10176^2 .

It is a super-2 number, since 2×190264320² = 72401022930124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44016 + ... + 48144.

Almost surely, 2^190264320 is an apocalyptic number.

190264320 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 190264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329710290).

190264320 is an abundant number, since it is smaller than the sum of its proper divisors (469156260).

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

190264320 is a wasteful number, since it uses less digits than its factorization.

190264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 190264320 is about 13793.6333139605. The cubic root of 190264320 is about 575.1561718201.

The spelling of 190264320 in words is "one hundred ninety million, two hundred sixty-four thousand, three hundred twenty".