85120008 has 64 divisors (see below), whose sum is σ = 221184000. Its totient is φ = 27277632.

The previous prime is 85119997. The next prime is 85120039. The reversal of 85120008 is 80002158.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85120008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65913 + ... + 67191.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^85120008 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 85120008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592000).

85120008 is an abundant number, since it is smaller than the sum of its proper divisors (136063992).

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

85120008 is a wasteful number, since it uses less digits than its factorization.

85120008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 85120008 is about 9226.0505092916. The cubic root of 85120008 is about 439.8897933355.

The spelling of 85120008 in words is "eighty-five million, one hundred twenty thousand, eight".