85905360 has 160 divisors (see below), whose sum is σ = 300159360. Its totient is φ = 22861440.

The previous prime is 85905359. The next prime is 85905361. The reversal of 85905360 is 6350958.

85905360 is a `hidden beast` number, since 8 + 590 + 5 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (85905359) and next prime (85905361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85905361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174715 + ... + 175205.

It is an arithmetic number, because the mean of its divisors is an integer number (1875996).

Almost surely, 2^85905360 is an apocalyptic number.

85905360 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 85905360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150079680).

85905360 is an abundant number, since it is smaller than the sum of its proper divisors (214254000).

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

85905360 is an equidigital number, since it uses as much as digits as its factorization.

85905360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85905360 is about 9268.5144440735. The cubic root of 85905360 is about 441.2385215310.

The spelling of 85905360 in words is "eighty-five million, nine hundred five thousand, three hundred sixty".