85815600 has 120 divisors (see below), whose sum is σ = 296095632. Its totient is φ = 21120000.

The previous prime is 85815577. The next prime is 85815619. The reversal of 85815600 is 651858.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850 + ... + 18350.

Almost surely, 2^85815600 is an apocalyptic number.

85815600 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 85815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148047816).

85815600 is an abundant number, since it is smaller than the sum of its proper divisors (210280032).

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

85815600 is a wasteful number, since it uses less digits than its factorization.

85815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 85815600 is about 9263.6709786132. The cubic root of 85815600 is about 441.0847888965.

The spelling of 85815600 in words is "eighty-five million, eight hundred fifteen thousand, six hundred".