8130624 has 112 divisors (see below), whose sum is σ = 23701248. Its totient is φ = 2449408.

The previous prime is 8130611. The next prime is 8130631. The reversal of 8130624 is 4260318.

It is a happy number.

It is a super-2 number, since 2×8130624² = 132214093258752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8130594 and 8130603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153382 + ... + 153434.

Almost surely, 2^8130624 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 8130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850624).

8130624 is an abundant number, since it is smaller than the sum of its proper divisors (15570624).

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

8130624 is a wasteful number, since it uses less digits than its factorization.

8130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 8130624 is about 2851.4249069544. The cubic root of 8130624 is about 201.0826619732.

The spelling of 8130624 in words is "eight million, one hundred thirty thousand, six hundred twenty-four".