85106448 has 60 divisors (see below), whose sum is σ = 272208768. Its totient is φ = 24315840.

The previous prime is 85106443. The next prime is 85106467. The reversal of 85106448 is 84460158.

85106448 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 644 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85106443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41208 + ... + 43223.

Almost surely, 2^85106448 is an apocalyptic number.

It is an amenable number.

85106448 is an abundant number, since it is smaller than the sum of its proper divisors (187102320).

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

85106448 is a wasteful number, since it uses less digits than its factorization.

85106448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84452 (or 84443 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85106448 is about 9225.3156043574. The cubic root of 85106448 is about 439.8664332877.

The spelling of 85106448 in words is "eighty-five million, one hundred six thousand, four hundred forty-eight".