85150120 has 96 divisors (see below), whose sum is σ = 214358760. Its totient is φ = 30412800.

The previous prime is 85150111. The next prime is 85150123. The reversal of 85150120 is 2105158.

It can be written as a sum of positive squares in 4 ways, for example, as 77827684 + 7322436 = 8822^2 + 2706^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 85150091 and 85150100.

It is not an unprimeable number, because it can be changed into a prime (85150123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353200 + ... + 353440.

Almost surely, 2^85150120 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 85150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179380).

85150120 is an abundant number, since it is smaller than the sum of its proper divisors (129208640).

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

85150120 is a wasteful number, since it uses less digits than its factorization.

85150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 85150120 is about 9227.6822658780. The cubic root of 85150120 is about 439.9416589314.

Adding to 85150120 its reverse (2105158), we get a palindrome (87255278).

The spelling of 85150120 in words is "eighty-five million, one hundred fifty thousand, one hundred twenty".