8350896960 has 224 divisors, whose sum is σ = 33668939520. Its totient is φ = 1908762624.

The previous prime is 8350896949. The next prime is 8350896989. The reversal of 8350896960 is 696980538.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8350896897 and 8350896906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8559 + ... + 129518.

Almost surely, 2^8350896960 is an apocalyptic number.

8350896960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8350896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834469760).

8350896960 is an abundant number, since it is smaller than the sum of its proper divisors (25318042560).

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

8350896960 is a wasteful number, since it uses less digits than its factorization.

8350896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138110 (or 138094 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8350896960 is about 91383.2422274456. The cubic root of 8350896960 is about 2028.8240060334.

The spelling of 8350896960 in words is "eight billion, three hundred fifty million, eight hundred ninety-six thousand, nine hundred sixty".