85365504 has 216 divisors, whose sum is σ = 289103360. Its totient is φ = 23721984.

The previous prime is 85365493. The next prime is 85365509. The reversal of 85365504 is 40556358.

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 (85365509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080537 + ... + 1080615.

Almost surely, 2^85365504 is an apocalyptic number.

85365504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144551680).

85365504 is an abundant number, since it is smaller than the sum of its proper divisors (203737856).

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

85365504 is a wasteful number, since it uses less digits than its factorization.

85365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85365504 is about 9239.3454313604. The cubic root of 85365504 is about 440.3122851936.

The spelling of 85365504 in words is "eighty-five million, three hundred sixty-five thousand, five hundred four".