85425120 has 144 divisors (see below), whose sum is σ = 318073392. Its totient is φ = 20705280.

The previous prime is 85425103. The next prime is 85425139. The reversal of 85425120 is 2152458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×85425120² = 14594902254028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13144 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (2208843).

Almost surely, 2^85425120 is an apocalyptic number.

85425120 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 85425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159036696).

85425120 is an abundant number, since it is smaller than the sum of its proper divisors (232648272).

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

85425120 is a wasteful number, since it uses less digits than its factorization.

85425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85425120 is about 9242.5710708655. The cubic root of 85425120 is about 440.4147604236.

Adding to 85425120 its reverse (2152458), we get a palindrome (87577578).

The spelling of 85425120 in words is "eighty-five million, four hundred twenty-five thousand, one hundred twenty".