85851780 has 96 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 19340160.

The previous prime is 85851763. The next prime is 85851781. The reversal of 85851780 is 8715858.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85851781) 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, 28381 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2^85851780 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 85851780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

85851780 is an abundant number, since it is smaller than the sum of its proper divisors (192840060).

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

85851780 is a wasteful number, since it uses less digits than its factorization.

85851780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 42.

The square root of 85851780 is about 9265.6235623945. The cubic root of 85851780 is about 441.1467675479.

The spelling of 85851780 in words is "eighty-five million, eight hundred fifty-one thousand, seven hundred eighty".