85612824 has 144 divisors (see below), whose sum is σ = 263914560. Its totient is φ = 25027200.

The previous prime is 85612789. The next prime is 85612873. The reversal of 85612824 is 42821658.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 269914 + ... + 270230.

It is an arithmetic number, because the mean of its divisors is an integer number (1832740).

Almost surely, 2^85612824 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 85612824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131957280).

85612824 is an abundant number, since it is smaller than the sum of its proper divisors (178301736).

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

85612824 is a wasteful number, since it uses less digits than its factorization.

85612824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 85612824 is about 9252.7198163567. The cubic root of 85612824 is about 440.7370978410.

It can be divided in two parts, 85612 and 824, that added together give a square (86436 = 294²).

The spelling of 85612824 in words is "eighty-five million, six hundred twelve thousand, eight hundred twenty-four".