8430907104 has 144 divisors (see below), whose sum is σ = 25435257120. Its totient is φ = 2639831040.

The previous prime is 8430907049. The next prime is 8430907127. The reversal of 8430907104 is 4017090348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3088012 + ... + 3090740.

It is an arithmetic number, because the mean of its divisors is an integer number (176633730).

Almost surely, 2^8430907104 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 8430907104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12717628560).

8430907104 is an abundant number, since it is smaller than the sum of its proper divisors (17004350016).

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

8430907104 is a wasteful number, since it uses less digits than its factorization.

8430907104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8430907104 is about 91819.9711609626. The cubic root of 8430907104 is about 2035.2828261875.

The spelling of 8430907104 in words is "eight billion, four hundred thirty million, nine hundred seven thousand, one hundred four".