85405320 has 512 divisors, whose sum is σ = 387072000. Its totient is φ = 16174080.

The previous prime is 85405301. The next prime is 85405349. The reversal of 85405320 is 2350458.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1081041 + ... + 1081119.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^85405320 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 85405320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

85405320 is an abundant number, since it is smaller than the sum of its proper divisors (301666680).

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

85405320 is a wasteful number, since it uses less digits than its factorization.

85405320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85405320 is about 9241.4998782665. The cubic root of 85405320 is about 440.3807310653.

Adding to 85405320 its reverse (2350458), we get a palindrome (87755778).

The spelling of 85405320 in words is "eighty-five million, four hundred five thousand, three hundred twenty".