85180920 has 128 divisors (see below), whose sum is σ = 284912640. Its totient is φ = 20195840.

The previous prime is 85180889. The next prime is 85180943. The reversal of 85180920 is 2908158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 61354 + ... + 62726.

It is an arithmetic number, because the mean of its divisors is an integer number (2225880).

Almost surely, 2^85180920 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 85180920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142456320).

85180920 is an abundant number, since it is smaller than the sum of its proper divisors (199731720).

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

85180920 is a wasteful number, since it uses less digits than its factorization.

85180920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85180920 is about 9229.3510064359. The cubic root of 85180920 is about 439.9946969058.

The spelling of 85180920 in words is "eighty-five million, one hundred eighty thousand, nine hundred twenty".