8230272960 has 336 divisors, whose sum is σ = 32342547456. Its totient is φ = 1736257536.

The previous prime is 8230272929. The next prime is 8230272961. The reversal of 8230272960 is 692720328.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×8230272960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8230272961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1132057 + ... + 1139303.

Almost surely, 2^8230272960 is an apocalyptic number.

8230272960 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 8230272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171273728).

8230272960 is an abundant number, since it is smaller than the sum of its proper divisors (24112274496).

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

8230272960 is a wasteful number, since it uses less digits than its factorization.

8230272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 8230272960 is about 90720.8518478525. The cubic root of 8230272960 is about 2019.0081854538.

The spelling of 8230272960 in words is "eight billion, two hundred thirty million, two hundred seventy-two thousand, nine hundred sixty".