85501080 has 288 divisors, whose sum is σ = 334517040. Its totient is φ = 18869760.

The previous prime is 85501079. The next prime is 85501093. The reversal of 85501080 is 8010558.

85501080 is a `hidden beast` number, since 8 + 550 + 108 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652615 + ... + 652745.

Almost surely, 2^85501080 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 85501080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167258520).

85501080 is an abundant number, since it is smaller than the sum of its proper divisors (249015960).

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

85501080 is a wasteful number, since it uses less digits than its factorization.

85501080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 85501080 is about 9246.6794039807. The cubic root of 85501080 is about 440.5452606573.

The spelling of 85501080 in words is "eighty-five million, five hundred one thousand, eighty".