85663224 has 128 divisors (see below), whose sum is σ = 254707200. Its totient is φ = 26611200.

The previous prime is 85663213. The next prime is 85663241. The reversal of 85663224 is 42236658.

85663224 = T₄₉₀ + T₄₉₁ + ... + T₈₅₇.

It is a super-3 number, since 3×85663224³ (a number of 25 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213424 + ... + 213824.

It is an arithmetic number, because the mean of its divisors is an integer number (1989900).

Almost surely, 2^85663224 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 85663224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127353600).

85663224 is an abundant number, since it is smaller than the sum of its proper divisors (169043976).

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

85663224 is a wasteful number, since it uses less digits than its factorization.

85663224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 85663224 is about 9255.4429391575. The cubic root of 85663224 is about 440.8235677224.

The spelling of 85663224 in words is "eighty-five million, six hundred sixty-three thousand, two hundred twenty-four".