85211808 has 192 divisors, whose sum is σ = 267079680. Its totient is φ = 23500800.

The previous prime is 85211801. The next prime is 85211813. The reversal of 85211808 is 80811258.

It is a super-2 number, since 2×85211808² = 14522104445257728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85211801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621916 + ... + 622052.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^85211808 is an apocalyptic number.

85211808 is a gapful number since it is divisible by the number (88) 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 85211808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133539840).

85211808 is an abundant number, since it is smaller than the sum of its proper divisors (181867872).

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

85211808 is a wasteful number, since it uses less digits than its factorization.

85211808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 85211808 is about 9231.0242118630. The cubic root of 85211808 is about 440.0478735789.

The spelling of 85211808 in words is "eighty-five million, two hundred eleven thousand, eight hundred eight".