85509120 has 176 divisors, whose sum is σ = 288872640. Its totient is φ = 21528576.

The previous prime is 85509119. The next prime is 85509211. The reversal of 85509120 is 2190558.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291694 + ... + 291986.

Almost surely, 2^85509120 is an apocalyptic number.

85509120 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 85509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

85509120 is an abundant number, since it is smaller than the sum of its proper divisors (203363520).

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

85509120 is a wasteful number, since it uses less digits than its factorization.

85509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 85509120 is about 9247.1141444237. The cubic root of 85509120 is about 440.5590689542.

Adding to 85509120 its reverse (2190558), we get a palindrome (87699678).

The spelling of 85509120 in words is "eighty-five million, five hundred nine thousand, one hundred twenty".