85735800 has 96 divisors (see below), whose sum is σ = 295330800. Its totient is φ = 22861440.

The previous prime is 85735781. The next prime is 85735817. The reversal of 85735800 is 853758.

It is a happy number.

85735800 is a `hidden beast` number, since 8 + 5 + 73 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539 + ... + 13338.

Almost surely, 2^85735800 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 85735800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147665400).

85735800 is an abundant number, since it is smaller than the sum of its proper divisors (209595000).

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

85735800 is a wasteful number, since it uses less digits than its factorization.

85735800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15887 counting only the distinct ones).

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

The square root of 85735800 is about 9259.3628290504. The cubic root of 85735800 is about 440.9480247876.

The spelling of 85735800 in words is "eighty-five million, seven hundred thirty-five thousand, eight hundred".