8506240512 has 640 divisors, whose sum is σ = 30546616320. Its totient is φ = 2038333440.

The previous prime is 8506240507. The next prime is 8506240529. The reversal of 8506240512 is 2150426058.

It is a super-2 number, since 2×8506240512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144173539 + ... + 144173597.

It is an arithmetic number, because the mean of its divisors is an integer number (47729088).

Almost surely, 2^8506240512 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 8506240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273308160).

8506240512 is an abundant number, since it is smaller than the sum of its proper divisors (22040375808).

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

8506240512 is a wasteful number, since it uses less digits than its factorization.

8506240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 8506240512 is about 92229.2822914718. The cubic root of 8506240512 is about 2041.3268722649.

The spelling of 8506240512 in words is "eight billion, five hundred six million, two hundred forty thousand, five hundred twelve".