8191520 has 24 divisors (see below), whose sum is σ = 19352844. Its totient is φ = 3276544.

The previous prime is 8191511. The next prime is 8191529. The reversal of 8191520 is 251918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8191511) and next prime (8191529).

It can be written as a sum of positive squares in 2 ways, for example, as 7595536 + 595984 = 2756^2 + 772^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 8191520.

It is not an unprimeable number, because it can be changed into a prime (8191529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25439 + ... + 25758.

Almost surely, 2^8191520 is an apocalyptic number.

8191520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8191520 is an abundant number, since it is smaller than the sum of its proper divisors (11161324).

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

8191520 is a wasteful number, since it uses less digits than its factorization.

8191520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51212 (or 51204 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 8191520 is about 2862.0831574222. The cubic root of 8191520 is about 201.5834306530.

The spelling of 8191520 in words is "eight million, one hundred ninety-one thousand, five hundred twenty".