8124935424 has 72 divisors (see below), whose sum is σ = 21721604352. Its totient is φ = 2696110080.

The previous prime is 8124935411. The next prime is 8124935459. The reversal of 8124935424 is 4245394218.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147544 + ... + 194984.

Almost surely, 2^8124935424 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 8124935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860802176).

8124935424 is an abundant number, since it is smaller than the sum of its proper divisors (13596668928).

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

8124935424 is a wasteful number, since it uses less digits than its factorization.

8124935424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47683 (or 47669 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 8124935424 is about 90138.4236826893. The cubic root of 8124935424 is about 2010.3575532827.

It can be divided in two parts, 81249354 and 24, that added together give a triangular number (81249378 = T₁₂₇₄₇).

The spelling of 8124935424 in words is "eight billion, one hundred twenty-four million, nine hundred thirty-five thousand, four hundred twenty-four".