85020500 has 48 divisors (see below), whose sum is σ = 187706064. Its totient is φ = 33638400.

The previous prime is 85020499. The next prime is 85020517. The reversal of 85020500 is 502058.

It can be written as a sum of positive squares in 8 ways, for example, as 55383364 + 29637136 = 7442^2 + 5444^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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, 47624 + ... + 49376.

It is an arithmetic number, because the mean of its divisors is an integer number (3910543).

Almost surely, 2^85020500 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 85020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93853032).

85020500 is an abundant number, since it is smaller than the sum of its proper divisors (102685564).

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

85020500 is a wasteful number, since it uses less digits than its factorization.

85020500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 85020500 is about 9220.6561588642. The cubic root of 85020500 is about 439.7183114366.

Adding to 85020500 its reverse (502058), we get a palindrome (85522558).

The spelling of 85020500 in words is "eighty-five million, twenty thousand, five hundred".