85510512 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 28267200.

The previous prime is 85510511. The next prime is 85510519. The reversal of 85510512 is 21501558.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85510511) 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 15 ways as a sum of consecutive naturals, for example, 55837 + ... + 57347.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^85510512 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 85510512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

85510512 is an abundant number, since it is smaller than the sum of its proper divisors (161973648).

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

85510512 is a wasteful number, since it uses less digits than its factorization.

85510512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 85510512 is about 9247.1894108426. The cubic root of 85510512 is about 440.5614595565.

The spelling of 85510512 in words is "eighty-five million, five hundred ten thousand, five hundred twelve".