85267224 has 48 divisors (see below), whose sum is σ = 263923920. Its totient is φ = 24361920.

The previous prime is 85267199. The next prime is 85267229. The reversal of 85267224 is 42276258.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85267229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84087 + ... + 85094.

It is an arithmetic number, because the mean of its divisors is an integer number (5498415).

Almost surely, 2^85267224 is an apocalyptic number.

85267224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85267224 is an abundant number, since it is smaller than the sum of its proper divisors (178656696).

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

85267224 is a wasteful number, since it uses less digits than its factorization.

85267224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169200 (or 169193 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 85267224 is about 9234.0253410958. The cubic root of 85267224 is about 440.1432453713.

It can be divided in two parts, 85267 and 224, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85267224 in words is "eighty-five million, two hundred sixty-seven thousand, two hundred twenty-four".