8270512320 has 672 divisors, whose sum is σ = 32935956480. Its totient is φ = 1718599680.

The previous prime is 8270512303. The next prime is 8270512343. The reversal of 8270512320 is 232150728.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223527342 + ... + 223527378.

It is an arithmetic number, because the mean of its divisors is an integer number (49011840).

Almost surely, 2^8270512320 is an apocalyptic number.

8270512320 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 8270512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467978240).

8270512320 is an abundant number, since it is smaller than the sum of its proper divisors (24665444160).

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

8270512320 is a wasteful number, since it uses less digits than its factorization.

8270512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 8270512320 is about 90942.3571280182. The cubic root of 8270512320 is about 2022.2932749838.

The spelling of 8270512320 in words is "eight billion, two hundred seventy million, five hundred twelve thousand, three hundred twenty".