85956048 has 30 divisors (see below), whose sum is σ = 240557954. Its totient is φ = 28651968.

The previous prime is 85956007. The next prime is 85956061. The reversal of 85956048 is 84065958.

85956048 is a `hidden beast` number, since 85 + 9 + 560 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 5817744 = 8952^2 + 2412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85955994 and 85956012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 298315 + ... + 298602.

Almost surely, 2^85956048 is an apocalyptic number.

It is an amenable number.

85956048 is an abundant number, since it is smaller than the sum of its proper divisors (154601906).

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

85956048 is a wasteful number, since it uses less digits than its factorization.

85956048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596931 (or 596922 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85956048 is about 9271.2484596197. The cubic root of 85956048 is about 441.3252879475.

The spelling of 85956048 in words is "eighty-five million, nine hundred fifty-six thousand, forty-eight".