85742208 has 96 divisors (see below), whose sum is σ = 248545440. Its totient is φ = 28371456.

The previous prime is 85742201. The next prime is 85742263. The reversal of 85742208 is 80224758.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (85742201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302835 + ... + 303117.

It is an arithmetic number, because the mean of its divisors is an integer number (2589015).

Almost surely, 2^85742208 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 85742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124272720).

85742208 is an abundant number, since it is smaller than the sum of its proper divisors (162803232).

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

85742208 is a wasteful number, since it uses less digits than its factorization.

85742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85742208 is about 9259.7088507145. The cubic root of 85742208 is about 440.9590101813.

The spelling of 85742208 in words is "eighty-five million, seven hundred forty-two thousand, two hundred eight".