8585670272 has 64 divisors (see below), whose sum is σ = 17601071040. Its totient is φ = 4169103360.

The previous prime is 8585670251. The next prime is 8585670283. The reversal of 8585670272 is 2720765858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8585670272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1187693 + ... + 1194899.

It is an arithmetic number, because the mean of its divisors is an integer number (275016735).

Almost surely, 2^8585670272 is an apocalyptic number.

8585670272 is a gapful number since it is divisible by the number (82) 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 8585670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800535520).

8585670272 is an abundant number, since it is smaller than the sum of its proper divisors (9015400768).

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

8585670272 is a wasteful number, since it uses less digits than its factorization.

8585670272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7489 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The square root of 8585670272 is about 92658.8920287740. The cubic root of 8585670272 is about 2047.6610461995.

The spelling of 8585670272 in words is "eight billion, five hundred eighty-five million, six hundred seventy thousand, two hundred seventy-two".