85885280 has 96 divisors (see below), whose sum is σ = 220739904. Its totient is φ = 31389696.

The previous prime is 85885259. The next prime is 85885291. The reversal of 85885280 is 8258858.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326429 + ... + 326691.

It is an arithmetic number, because the mean of its divisors is an integer number (2299374).

Almost surely, 2^85885280 is an apocalyptic number.

85885280 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 85885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110369952).

85885280 is an abundant number, since it is smaller than the sum of its proper divisors (134854624).

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

85885280 is a wasteful number, since it uses less digits than its factorization.

85885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 44.

The square root of 85885280 is about 9267.4311435262. The cubic root of 85885280 is about 441.2041396642.

The spelling of 85885280 in words is "eighty-five million, eight hundred eighty-five thousand, two hundred eighty".