85250920 has 64 divisors (see below), whose sum is σ = 204275520. Its totient is φ = 31908864.

The previous prime is 85250917. The next prime is 85250939. The reversal of 85250920 is 2905258.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192219 + ... + 192661.

It is an arithmetic number, because the mean of its divisors is an integer number (3191805).

Almost surely, 2^85250920 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 85250920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102137760).

85250920 is an abundant number, since it is smaller than the sum of its proper divisors (119024600).

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

85250920 is a wasteful number, since it uses less digits than its factorization.

85250920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 85250920 is about 9233.1424769685. The cubic root of 85250920 is about 440.1151902267.

The spelling of 85250920 in words is "eighty-five million, two hundred fifty thousand, nine hundred twenty".