85582224 has 240 divisors, whose sum is σ = 308730240. Its totient is φ = 22498560.

The previous prime is 85582187. The next prime is 85582229. The reversal of 85582224 is 42228558.

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

It is not an unprimeable number, because it can be changed into a prime (85582229) 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 47 ways as a sum of consecutive naturals, for example, 275029 + ... + 275339.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^85582224 is an apocalyptic number.

85582224 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 85582224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

85582224 is an abundant number, since it is smaller than the sum of its proper divisors (223148016).

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

85582224 is a wasteful number, since it uses less digits than its factorization.

85582224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 85582224 is about 9251.0661007259. The cubic root of 85582224 is about 440.6845817121.

The spelling of 85582224 in words is "eighty-five million, five hundred eighty-two thousand, two hundred twenty-four".