85357600 has 72 divisors (see below), whose sum is σ = 217486080. Its totient is φ = 32651520.

The previous prime is 85357579. The next prime is 85357619. The reversal of 85357600 is 675358.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16081 + ... + 20719.

It is an arithmetic number, because the mean of its divisors is an integer number (3020640).

Almost surely, 2^85357600 is an apocalyptic number.

85357600 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 85357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108743040).

85357600 is an abundant number, since it is smaller than the sum of its proper divisors (132128480).

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

85357600 is a wasteful number, since it uses less digits than its factorization.

85357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 85357600 is about 9238.9176855301. The cubic root of 85357600 is about 440.2986952556.

The spelling of 85357600 in words is "eighty-five million, three hundred fifty-seven thousand, six hundred".