85537800 has 72 divisors (see below), whose sum is σ = 287270490. Its totient is φ = 22809600.

The previous prime is 85537789. The next prime is 85537807. The reversal of 85537800 is 873558.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 77686596 + 7851204 = 8814^2 + 2802^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (85537807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21961 + ... + 25560.

Almost surely, 2^85537800 is an apocalyptic number.

It is an amenable number.

85537800 is an abundant number, since it is smaller than the sum of its proper divisors (201732690).

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

85537800 is a wasteful number, since it uses less digits than its factorization.

85537800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47543 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85537800 is about 9248.6647684950. The cubic root of 85537800 is about 440.6083183665.

The spelling of 85537800 in words is "eighty-five million, five hundred thirty-seven thousand, eight hundred".