85054320 has 240 divisors, whose sum is σ = 318595680. Its totient is φ = 20846592.

The previous prime is 85054283. The next prime is 85054327. The reversal of 85054320 is 2345058.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85054327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364924 + ... + 365156.

It is an arithmetic number, because the mean of its divisors is an integer number (1327482).

Almost surely, 2^85054320 is an apocalyptic number.

85054320 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 85054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159297840).

85054320 is an abundant number, since it is smaller than the sum of its proper divisors (233541360).

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

85054320 is a wasteful number, since it uses less digits than its factorization.

85054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

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

The square root of 85054320 is about 9222.4899024071. The cubic root of 85054320 is about 439.7766083645.

Adding to 85054320 its reverse (2345058), we get a palindrome (87399378).

The spelling of 85054320 in words is "eighty-five million, fifty-four thousand, three hundred twenty".