85455648 has 60 divisors (see below), whose sum is σ = 251330310. Its totient is φ = 28484352.

The previous prime is 85455593. The next prime is 85455697. The reversal of 85455648 is 84655458.

85455648 is a `hidden beast` number, since 8 + 54 + 556 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 8928144 = 8748^2 + 2988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13893 + ... + 19076.

Almost surely, 2^85455648 is an apocalyptic number.

It is an amenable number.

85455648 is an abundant number, since it is smaller than the sum of its proper divisors (165874662).

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

85455648 is a wasteful number, since it uses less digits than its factorization.

85455648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32991 (or 32974 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 85455648 is about 9244.2224118635. Note that the first 3 decimals coincide. The cubic root of 85455648 is about 440.4672172050.

The spelling of 85455648 in words is "eighty-five million, four hundred fifty-five thousand, six hundred forty-eight".