85300096 has 128 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 34007040.

The previous prime is 85300081. The next prime is 85300153. The reversal of 85300096 is 69000358.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×85300096² = 14552212755218432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027671 + ... + 1027753.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^85300096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

85300096 is an abundant number, since it is smaller than the sum of its proper divisors (123073664).

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

85300096 is a wasteful number, since it uses less digits than its factorization.

85300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 85300096 is about 9235.8051083812. The cubic root of 85300096 is about 440.1997990669.

The spelling of 85300096 in words is "eighty-five million, three hundred thousand, ninety-six".