85603968 has 96 divisors (see below), whose sum is σ = 259365600. Its totient is φ = 27025920.

The previous prime is 85603963. The next prime is 85603979. The reversal of 85603968 is 86930658.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85603963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19933 + ... + 23843.

It is an arithmetic number, because the mean of its divisors is an integer number (2701725).

Almost surely, 2^85603968 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 85603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129682800).

85603968 is an abundant number, since it is smaller than the sum of its proper divisors (173761632).

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

85603968 is a wasteful number, since it uses less digits than its factorization.

85603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85603968 is about 9252.2412419910. The cubic root of 85603968 is about 440.7219003424.

The spelling of 85603968 in words is "eighty-five million, six hundred three thousand, nine hundred sixty-eight".