85590648 has 256 divisors, whose sum is σ = 297561600. Its totient is φ = 22394880.

The previous prime is 85590647. The next prime is 85590653. The reversal of 85590648 is 84609558.

It is a super-3 number, since 3×85590648³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85590641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525015 + ... + 525177.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^85590648 is an apocalyptic number.

85590648 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 85590648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

85590648 is an abundant number, since it is smaller than the sum of its proper divisors (211970952).

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

85590648 is a wasteful number, since it uses less digits than its factorization.

85590648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85590648 is about 9251.5213883988. The cubic root of 85590648 is about 440.6990403420.

The spelling of 85590648 in words is "eighty-five million, five hundred ninety thousand, six hundred forty-eight".