85141280 has 96 divisors (see below), whose sum is σ = 242040960. Its totient is φ = 27648000.

The previous prime is 85141279. The next prime is 85141289. The reversal of 85141280 is 8214158.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85141289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19280 + ... + 23280.

It is an arithmetic number, because the mean of its divisors is an integer number (2521260).

Almost surely, 2^85141280 is an apocalyptic number.

85141280 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 85141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121020480).

85141280 is an abundant number, since it is smaller than the sum of its proper divisors (156899680).

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

85141280 is a wasteful number, since it uses less digits than its factorization.

85141280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 85141280 is about 9227.2032599266. The cubic root of 85141280 is about 439.9264339818.

The spelling of 85141280 in words is "eighty-five million, one hundred forty-one thousand, two hundred eighty".