85990500 has 144 divisors (see below), whose sum is σ = 275459184. Its totient is φ = 22579200.

The previous prime is 85990493. The next prime is 85990501. The reversal of 85990500 is 509958.

It can be written as a sum of positive squares in 8 ways, for example, as 7986276 + 78004224 = 2826^2 + 8832^2 .

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 (85990501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436402 + ... + 436598.

It is an arithmetic number, because the mean of its divisors is an integer number (1912911).

Almost surely, 2^85990500 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 85990500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137729592).

85990500 is an abundant number, since it is smaller than the sum of its proper divisors (189468684).

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

85990500 is a wasteful number, since it uses less digits than its factorization.

85990500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 85990500 is about 9273.1062756770. The cubic root of 85990500 is about 441.3842425267.

The spelling of 85990500 in words is "eighty-five million, nine hundred ninety thousand, five hundred".