85280008 has 64 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 36590400.

The previous prime is 85279993. The next prime is 85280029. The reversal of 85280008 is 80008258.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 116941 + ... + 117667.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 2^85280008 is an apocalyptic number.

85280008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

85280008 is the 5332-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85280008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

85280008 is an abundant number, since it is smaller than the sum of its proper divisors (99224312).

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

85280008 is a wasteful number, since it uses less digits than its factorization.

85280008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 85280008 is about 9234.7175376402. The cubic root of 85280008 is about 440.1652409667.

The spelling of 85280008 in words is "eighty-five million, two hundred eighty thousand, eight".