85204512 has 144 divisors (see below), whose sum is σ = 266535360. Its totient is φ = 25698816.

The previous prime is 85204507. The next prime is 85204517. The reversal of 85204512 is 21540258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85204507) and next prime (85204517).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (85204517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125518 + ... + 126194.

It is an arithmetic number, because the mean of its divisors is an integer number (1850940).

Almost surely, 2^85204512 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 85204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133267680).

85204512 is an abundant number, since it is smaller than the sum of its proper divisors (181330848).

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

85204512 is a wasteful number, since it uses less digits than its factorization.

85204512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85204512 is about 9230.6290143197. The cubic root of 85204512 is about 440.0353139701.

The spelling of 85204512 in words is "eighty-five million, two hundred four thousand, five hundred twelve".