85067808 has 96 divisors (see below), whose sum is σ = 256685184. Its totient is φ = 24164352.

The previous prime is 85067783. The next prime is 85067839. The reversal of 85067808 is 80876058.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 85067808.

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, 185916 + ... + 186372.

It is an arithmetic number, because the mean of its divisors is an integer number (2673804).

Almost surely, 2^85067808 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 85067808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128342592).

85067808 is an abundant number, since it is smaller than the sum of its proper divisors (171617376).

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

85067808 is a wasteful number, since it uses less digits than its factorization.

85067808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 85067808 is about 9223.2211293018. The cubic root of 85067808 is about 439.7998538754.

The spelling of 85067808 in words is "eighty-five million, sixty-seven thousand, eight hundred eight".