85618260 has 144 divisors (see below), whose sum is σ = 319702656. Its totient is φ = 18061056.

The previous prime is 85618241. The next prime is 85618277. The reversal of 85618260 is 6281658.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13767 + ... + 18993.

Almost surely, 2^85618260 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 85618260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159851328).

85618260 is an abundant number, since it is smaller than the sum of its proper divisors (234084396).

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

85618260 is a wasteful number, since it uses less digits than its factorization.

85618260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85618260 is about 9253.0135631588. The cubic root of 85618260 is about 440.7464258678.

The spelling of 85618260 in words is "eighty-five million, six hundred eighteen thousand, two hundred sixty".