85436208 has 200 divisors, whose sum is σ = 291137616. Its totient is φ = 23846400.

The previous prime is 85436201. The next prime is 85436243. The reversal of 85436208 is 80263458.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85436201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185098 + ... + 185558.

Almost surely, 2^85436208 is an apocalyptic number.

85436208 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 85436208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145568808).

85436208 is an abundant number, since it is smaller than the sum of its proper divisors (205701408).

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

85436208 is a wasteful number, since it uses less digits than its factorization.

85436208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85436208 is about 9243.1708844963. The cubic root of 85436208 is about 440.4338145676.

The spelling of 85436208 in words is "eighty-five million, four hundred thirty-six thousand, two hundred eight".