85335120 has 200 divisors, whose sum is σ = 319495176. Its totient is φ = 20984832.

The previous prime is 85335109. The next prime is 85335167. The reversal of 85335120 is 2153358.

85335120 is a `hidden beast` number, since 8 + 533 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 80353296 = 2232^2 + 8964^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83734 + ... + 84746.

Almost surely, 2^85335120 is an apocalyptic number.

85335120 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 85335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159747588).

85335120 is an abundant number, since it is smaller than the sum of its proper divisors (234160056).

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

85335120 is a wasteful number, since it uses less digits than its factorization.

85335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 85335120 is about 9237.7010126979. The cubic root of 85335120 is about 440.2600391246.

Adding to 85335120 its reverse (2153358), we get a palindrome (87488478).

The spelling of 85335120 in words is "eighty-five million, three hundred thirty-five thousand, one hundred twenty".