85775040 has 336 divisors, whose sum is σ = 332841600. Its totient is φ = 20127744.

The previous prime is 85775017. The next prime is 85775051. The reversal of 85775040 is 4057758.

85775040 is a `hidden beast` number, since 85 + 77 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85774986 and 85775004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085721 + ... + 1085799.

It is an arithmetic number, because the mean of its divisors is an integer number (990600).

Almost surely, 2^85775040 is an apocalyptic number.

85775040 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 85775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166420800).

85775040 is an abundant number, since it is smaller than the sum of its proper divisors (247066560).

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

85775040 is a wasteful number, since it uses less digits than its factorization.

85775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85775040 is about 9261.4815229530. The cubic root of 85775040 is about 441.0152863105.

The spelling of 85775040 in words is "eighty-five million, seven hundred seventy-five thousand, forty".