85505224 has 64 divisors (see below), whose sum is σ = 194803200. Its totient is φ = 34401024.

The previous prime is 85505221. The next prime is 85505227. The reversal of 85505224 is 42250558.

It is an interprime number because it is at equal distance from previous prime (85505221) and next prime (85505227).

It is a super-2 number, since 2×85505224² = 14622286662580352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85505221) 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, 59377 + ... + 60799.

It is an arithmetic number, because the mean of its divisors is an integer number (3043800).

Almost surely, 2^85505224 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 85505224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97401600).

85505224 is an abundant number, since it is smaller than the sum of its proper divisors (109297976).

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

85505224 is a wasteful number, since it uses less digits than its factorization.

85505224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 85505224 is about 9246.9034817067. The cubic root of 85505224 is about 440.5523778776.

The spelling of 85505224 in words is "eighty-five million, five hundred five thousand, two hundred twenty-four".