85536000 has 432 divisors, whose sum is σ = 348199488. Its totient is φ = 20736000.

The previous prime is 85535999. The next prime is 85536007. The reversal of 85536000 is 63558.

85536000 is a `hidden beast` number, since 8 + 5 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85536007) 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, 7775995 + ... + 7776005.

Almost surely, 2^85536000 is an apocalyptic number.

85536000 is a gapful number since it is divisible by the number (80) 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 85536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174099744).

85536000 is an abundant number, since it is smaller than the sum of its proper divisors (262663488).

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

85536000 is an equidigital number, since it uses as much as digits as its factorization.

85536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85536000 is about 9248.5674566389. The cubic root of 85536000 is about 440.6052277230.

Adding to 85536000 its reverse (63558), we get a palindrome (85599558).

The spelling of 85536000 in words is "eighty-five million, five hundred thirty-six thousand".