85204224 has 180 divisors, whose sum is σ = 290853024. Its totient is φ = 24302592.

The previous prime is 85204219. The next prime is 85204243. The reversal of 85204224 is 42240258.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 144859 + ... + 145445.

Almost surely, 2^85204224 is an apocalyptic number.

85204224 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 85204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145426512).

85204224 is an abundant number, since it is smaller than the sum of its proper divisors (205648800).

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

85204224 is an equidigital number, since it uses as much as digits as its factorization.

85204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 85204224 is about 9230.6134140695. The cubic root of 85204224 is about 440.0348181813.

The spelling of 85204224 in words is "eighty-five million, two hundred four thousand, two hundred twenty-four".