85221024 has 96 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 23503872.

The previous prime is 85221007. The next prime is 85221029. The reversal of 85221024 is 42012258.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 85220985 and 85221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85221029) 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, 17302 + ... + 21674.

It is an arithmetic number, because the mean of its divisors is an integer number (2755620).

Almost surely, 2^85221024 is an apocalyptic number.

85221024 is a gapful number since it is divisible by the number (84) 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 85221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

85221024 is an abundant number, since it is smaller than the sum of its proper divisors (179318496).

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

85221024 is a wasteful number, since it uses less digits than its factorization.

85221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 85221024 is about 9231.5233845774. The cubic root of 85221024 is about 440.0637373232.

The spelling of 85221024 in words is "eighty-five million, two hundred twenty-one thousand, twenty-four".