85818880 has 80 divisors (see below), whose sum is σ = 235208160. Its totient is φ = 29417472.

The previous prime is 85818871. The next prime is 85818883. The reversal of 85818880 is 8881858.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 85818880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85818883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15526 + ... + 20314.

It is an arithmetic number, because the mean of its divisors is an integer number (2940102).

Almost surely, 2^85818880 is an apocalyptic number.

85818880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117604080).

85818880 is an abundant number, since it is smaller than the sum of its proper divisors (149389280).

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

85818880 is an equidigital number, since it uses as much as digits as its factorization.

85818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 46.

The square root of 85818880 is about 9263.8480125702. The cubic root of 85818880 is about 441.0904084640.

The spelling of 85818880 in words is "eighty-five million, eight hundred eighteen thousand, eight hundred eighty".