85300960 has 48 divisors (see below), whose sum is σ = 202078800. Its totient is φ = 34026496.

The previous prime is 85300931. The next prime is 85300973. The reversal of 85300960 is 6900358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105036 + ... + 105844.

It is an arithmetic number, because the mean of its divisors is an integer number (4209975).

Almost surely, 2^85300960 is an apocalyptic number.

85300960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85300960 is an abundant number, since it is smaller than the sum of its proper divisors (116777840).

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

85300960 is a wasteful number, since it uses less digits than its factorization.

85300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1475 counting only the distinct ones).

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

The square root of 85300960 is about 9235.8518827448. The cubic root of 85300960 is about 440.2012853151.

The spelling of 85300960 in words is "eighty-five million, three hundred thousand, nine hundred sixty".