85608960 has 160 divisors (see below), whose sum is σ = 279303552. Its totient is φ = 22364160.

The previous prime is 85608959. The next prime is 85608973. The reversal of 85608960 is 6980658.

It is a tau number, because it is divible by the number of its divisors (160).

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, 545202 + ... + 545358.

Almost surely, 2^85608960 is an apocalyptic number.

85608960 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 85608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139651776).

85608960 is an abundant number, since it is smaller than the sum of its proper divisors (193694592).

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

85608960 is a wasteful number, since it uses less digits than its factorization.

85608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 85608960 is about 9252.5110105311. The cubic root of 85608960 is about 440.7304670830.

It can be divided in two parts, 85608 and 960, that added together give a palindrome (86568).

The spelling of 85608960 in words is "eighty-five million, six hundred eight thousand, nine hundred sixty".