85928960 has 88 divisors (see below), whose sum is σ = 222156816. Its totient is φ = 31703040.

The previous prime is 85928959. The next prime is 85928971. The reversal of 85928960 is 6982958.

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, 65915 + ... + 67205.

Almost surely, 2^85928960 is an apocalyptic number.

85928960 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 85928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111078408).

85928960 is an abundant number, since it is smaller than the sum of its proper divisors (136227856).

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

85928960 is a wasteful number, since it uses less digits than its factorization.

85928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 85928960 is about 9269.7874840797. The cubic root of 85928960 is about 441.2789236498.

The spelling of 85928960 in words is "eighty-five million, nine hundred twenty-eight thousand, nine hundred sixty".