85615890 has 64 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 21678272.

The previous prime is 85615889. The next prime is 85615897. The reversal of 85615890 is 9851658.

It is not an unprimeable number, because it can be changed into a prime (85615897) 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 31 ways as a sum of consecutive naturals, for example, 114859 + ... + 115601.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^85615890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85615890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

85615890 is an abundant number, since it is smaller than the sum of its proper divisors (130370286).

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

85615890 is a wasteful number, since it uses less digits than its factorization.

85615890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 85615890 is about 9252.8854958872. The cubic root of 85615890 is about 440.7423590614.

The spelling of 85615890 in words is "eighty-five million, six hundred fifteen thousand, eight hundred ninety".