85704208 has 40 divisors (see below), whose sum is σ = 176452992. Its totient is φ = 40186368.

The previous prime is 85704197. The next prime is 85704209. The reversal of 85704208 is 80240758.

It is a super-2 number, since 2×85704208² = 14690422537814528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (85704209) 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 7 ways as a sum of consecutive naturals, for example, 132141 + ... + 132787.

Almost surely, 2^85704208 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 85704208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88226496).

85704208 is an abundant number, since it is smaller than the sum of its proper divisors (90748784).

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

85704208 is a wasteful number, since it uses less digits than its factorization.

85704208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 85704208 is about 9257.6567229510. The cubic root of 85704208 is about 440.8938578337.

The spelling of 85704208 in words is "eighty-five million, seven hundred four thousand, two hundred eight".