85088232 has 80 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 26866080.

The previous prime is 85088231. The next prime is 85088239. The reversal of 85088232 is 23288058.

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 (85088231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8857 + ... + 15767.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2^85088232 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 85088232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

85088232 is an abundant number, since it is smaller than the sum of its proper divisors (165817368).

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

85088232 is a wasteful number, since it uses less digits than its factorization.

85088232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85088232 is about 9224.3282682264. The cubic root of 85088232 is about 439.8350483618.

The spelling of 85088232 in words is "eighty-five million, eighty-eight thousand, two hundred thirty-two".