85811500 has 48 divisors (see below), whose sum is σ = 190060416. Its totient is φ = 33840000.

The previous prime is 85811497. The next prime is 85811501. The reversal of 85811500 is 511858.

85811500 = 1048² + 1049² + ... + 1120².

It is a super-2 number, since 2×85811500² = 14727227064500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85811501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35325 + ... + 37675.

It is an arithmetic number, because the mean of its divisors is an integer number (3959592).

Almost surely, 2^85811500 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 85811500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95030208).

85811500 is an abundant number, since it is smaller than the sum of its proper divisors (104248916).

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

85811500 is a wasteful number, since it uses less digits than its factorization.

85811500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 28.

The square root of 85811500 is about 9263.4496814092. The cubic root of 85811500 is about 441.0777642357.

The spelling of 85811500 in words is "eighty-five million, eight hundred eleven thousand, five hundred".