85802112 has 256 divisors, whose sum is σ = 288374400. Its totient is φ = 24883200.

The previous prime is 85802099. The next prime is 85802131. The reversal of 85802112 is 21120858.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1406562 + ... + 1406622.

Almost surely, 2^85802112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

85802112 is an abundant number, since it is smaller than the sum of its proper divisors (202572288).

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

85802112 is a wasteful number, since it uses less digits than its factorization.

85802112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85802112 is about 9262.9429448745. The cubic root of 85802112 is about 441.0616786331.

The spelling of 85802112 in words is "eighty-five million, eight hundred two thousand, one hundred twelve".