85966848 has 180 divisors, whose sum is σ = 276029208. Its totient is φ = 25559040.

The previous prime is 85966843. The next prime is 85966877. The reversal of 85966848 is 84866958.

It is a happy number.

85966848 is a `hidden beast` number, since 8 + 596 + 6 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85966794 and 85966803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85966843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1621990 + ... + 1622042.

Almost surely, 2^85966848 is an apocalyptic number.

85966848 is a gapful number since it is divisible by the number (88) 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 85966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138014604).

85966848 is an abundant number, since it is smaller than the sum of its proper divisors (190062360).

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

85966848 is a wasteful number, since it uses less digits than its factorization.

85966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 85966848 is about 9271.8308871549. The cubic root of 85966848 is about 441.3437707017.

The spelling of 85966848 in words is "eighty-five million, nine hundred sixty-six thousand, eight hundred forty-eight".