85924352 has 40 divisors (see below), whose sum is σ = 172612836. Its totient is φ = 42729472.

The previous prime is 85924337. The next prime is 85924357. The reversal of 85924352 is 25342958.

It can be written as a sum of positive squares in 2 ways, for example, as 82882816 + 3041536 = 9104^2 + 1744^2 .

It is not an unprimeable number, because it can be changed into a prime (85924357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131258 + ... + 131910.

Almost surely, 2^85924352 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 85924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86306418).

85924352 is an abundant number, since it is smaller than the sum of its proper divisors (86688484).

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

85924352 is an equidigital number, since it uses as much as digits as its factorization.

85924352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 912 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 85924352 is about 9269.5389313601. The cubic root of 85924352 is about 441.2710355462.

The spelling of 85924352 in words is "eighty-five million, nine hundred twenty-four thousand, three hundred fifty-two".