85461120 has 192 divisors, whose sum is σ = 303839640. Its totient is φ = 22118400.

The previous prime is 85461073. The next prime is 85461133. The reversal of 85461120 is 2116458.

85461120 is a `hidden beast` number, since 8 + 546 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 968256 = 9192^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 212920 + ... + 213320.

Almost surely, 2^85461120 is an apocalyptic number.

85461120 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 85461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151919820).

85461120 is an abundant number, since it is smaller than the sum of its proper divisors (218378520).

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

85461120 is a wasteful number, since it uses less digits than its factorization.

85461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85461120 is about 9244.5183757727. The cubic root of 85461120 is about 440.4766185152.

Adding to 85461120 its reverse (2116458), we get a palindrome (87577578).

The spelling of 85461120 in words is "eighty-five million, four hundred sixty-one thousand, one hundred twenty".