85265648 has 40 divisors (see below), whose sum is σ = 180196800. Its totient is φ = 38847744.

The previous prime is 85265633. The next prime is 85265657. The reversal of 85265648 is 84656258.

It is a super-3 number, since 3×85265648³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85265599 and 85265608.

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 7 ways as a sum of consecutive naturals, for example, 13838 + ... + 19026.

It is an arithmetic number, because the mean of its divisors is an integer number (4504920).

Almost surely, 2^85265648 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 85265648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90098400).

85265648 is an abundant number, since it is smaller than the sum of its proper divisors (94931152).

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

85265648 is a wasteful number, since it uses less digits than its factorization.

85265648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5289 (or 5283 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 85265648 is about 9233.9400041369. The cubic root of 85265648 is about 440.1405336219.

The spelling of 85265648 in words is "eighty-five million, two hundred sixty-five thousand, six hundred forty-eight".