85315280 has 80 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 32338944.

The previous prime is 85315277. The next prime is 85315327. The reversal of 85315280 is 8251358.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 366044 + ... + 366276.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^85315280 is an apocalyptic number.

85315280 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 85315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

85315280 is an abundant number, since it is smaller than the sum of its proper divisors (123599920).

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

85315280 is a wasteful number, since it uses less digits than its factorization.

85315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85315280 is about 9236.6270900151. The cubic root of 85315280 is about 440.2259170414.

The spelling of 85315280 in words is "eighty-five million, three hundred fifteen thousand, two hundred eighty".