85753600 has 54 divisors (see below), whose sum is σ = 212269400. Its totient is φ = 34298880.

The previous prime is 85753597. The next prime is 85753601. The reversal of 85753600 is 635758.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85753601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300 + ... + 13099.

Almost surely, 2^85753600 is an apocalyptic number.

85753600 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 85753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106134700).

85753600 is an abundant number, since it is smaller than the sum of its proper divisors (126515800).

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

85753600 is a wasteful number, since it uses less digits than its factorization.

85753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13406 counting only the distinct ones).

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

The square root of 85753600 is about 9260.3239684149. The cubic root of 85753600 is about 440.9785384187.

The spelling of 85753600 in words is "eighty-five million, seven hundred fifty-three thousand, six hundred".