85001120 has 48 divisors (see below), whose sum is σ = 201525408. Its totient is φ = 33880320.

The previous prime is 85001113. The next prime is 85001149. The reversal of 85001120 is 2110058.

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, 54755 + ... + 56285.

It is an arithmetic number, because the mean of its divisors is an integer number (4198446).

Almost surely, 2^85001120 is an apocalyptic number.

85001120 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 85001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100762704).

85001120 is an abundant number, since it is smaller than the sum of its proper divisors (116524288).

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

85001120 is a wasteful number, since it uses less digits than its factorization.

85001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 85001120 is about 9219.6051976210. The cubic root of 85001120 is about 439.6848983639.

Adding to 85001120 its reverse (2110058), we get a palindrome (87111178).

The spelling of 85001120 in words is "eighty-five million, one thousand, one hundred twenty".