85088388 has 96 divisors (see below), whose sum is σ = 251209728. Its totient is φ = 21772800.

The previous prime is 85088329. The next prime is 85088389. The reversal of 85088388 is 88388058.

It is not an unprimeable number, because it can be changed into a prime (85088389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64956 + ... + 66252.

It is an arithmetic number, because the mean of its divisors is an integer number (2616768).

Almost surely, 2^85088388 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 85088388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125604864).

85088388 is an abundant number, since it is smaller than the sum of its proper divisors (166121340).

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

85088388 is a wasteful number, since it uses less digits than its factorization.

85088388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 85088388 is about 9224.3367241228. The cubic root of 85088388 is about 439.8353171582.

The spelling of 85088388 in words is "eighty-five million, eighty-eight thousand, three hundred eighty-eight".