85618980 has 72 divisors (see below), whose sum is σ = 261765504. Its totient is φ = 22651200.

The previous prime is 85618961. The next prime is 85619003. The reversal of 85618980 is 8981658.

85618980 is a `hidden beast` number, since 8 + 561 + 8 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21765 + ... + 25395.

It is an arithmetic number, because the mean of its divisors is an integer number (3635632).

Almost surely, 2^85618980 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 85618980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130882752).

85618980 is an abundant number, since it is smaller than the sum of its proper divisors (176146524).

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

85618980 is a wasteful number, since it uses less digits than its factorization.

85618980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 85618980 is about 9253.0524693206. The cubic root of 85618980 is about 440.7476613385.

The spelling of 85618980 in words is "eighty-five million, six hundred eighteen thousand, nine hundred eighty".