8396106624 has 128 divisors (see below), whose sum is σ = 24881472000. Its totient is φ = 2787264000.

The previous prime is 8396106601. The next prime is 8396106643. The reversal of 8396106624 is 4266016938.

8396106624 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 10 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 8396106624.

It is a congruent number.

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, 862617 + ... + 872295.

It is an arithmetic number, because the mean of its divisors is an integer number (194386500).

Almost surely, 2^8396106624 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 8396106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440736000).

8396106624 is an abundant number, since it is smaller than the sum of its proper divisors (16485365376).

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

8396106624 is a wasteful number, since it uses less digits than its factorization.

8396106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8396106624 is about 91630.2713299486. The cubic root of 8396106624 is about 2032.4786005563.

The spelling of 8396106624 in words is "eight billion, three hundred ninety-six million, one hundred six thousand, six hundred twenty-four".