85107120 has 120 divisors (see below), whose sum is σ = 306949104. Its totient is φ = 19450368.

The previous prime is 85107101. The next prime is 85107131. The reversal of 85107120 is 2170158.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8142 + ... + 15378.

Almost surely, 2^85107120 is an apocalyptic number.

85107120 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 85107120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474552).

85107120 is an abundant number, since it is smaller than the sum of its proper divisors (221841984).

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

85107120 is a wasteful number, since it uses less digits than its factorization.

85107120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 85107120 is about 9225.3520258037. The cubic root of 85107120 is about 439.8675910122.

Adding to 85107120 its reverse (2170158), we get a palindrome (87277278).

The spelling of 85107120 in words is "eighty-five million, one hundred seven thousand, one hundred twenty".