85512960 has 216 divisors, whose sum is σ = 319182864. Its totient is φ = 21012480.

The previous prime is 85512953. The next prime is 85512979. The reversal of 85512960 is 6921558.

It is a happy number.

85512960 is a `hidden beast` number, since 85 + 512 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 149475 + ... + 150045.

Almost surely, 2^85512960 is an apocalyptic number.

85512960 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 85512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159591432).

85512960 is an abundant number, since it is smaller than the sum of its proper divisors (233669904).

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

85512960 is a wasteful number, since it uses less digits than its factorization.

85512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 85512960 is about 9247.3217744383. The cubic root of 85512960 is about 440.5656636562.

It can be divided in two parts, 8551 and 2960, that added together give a palindrome (11511).

The spelling of 85512960 in words is "eighty-five million, five hundred twelve thousand, nine hundred sixty".