8161824 has 96 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 2412800.

The previous prime is 8161817. The next prime is 8161831. The reversal of 8161824 is 4281618.

It is an interprime number because it is at equal distance from previous prime (8161817) and next prime (8161831).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8161791 and 8161800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62239 + ... + 62369.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^8161824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8161824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

8161824 is an abundant number, since it is smaller than the sum of its proper divisors (15788256).

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

8161824 is a wasteful number, since it uses less digits than its factorization.

8161824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 8161824 is about 2856.8906174371. The cubic root of 8161824 is about 201.3395414466.

The spelling of 8161824 in words is "eight million, one hundred sixty-one thousand, eight hundred twenty-four".