85221648 has 60 divisors (see below), whose sum is σ = 240774768. Its totient is φ = 28136640.

The previous prime is 85221637. The next prime is 85221671. The reversal of 85221648 is 84612258.

85221648 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 1 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12643 + ... + 18173.

Almost surely, 2^85221648 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 85221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120387384).

85221648 is an abundant number, since it is smaller than the sum of its proper divisors (155553120).

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

85221648 is a wasteful number, since it uses less digits than its factorization.

85221648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652 (or 5643 counting only the distinct ones).

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

The square root of 85221648 is about 9231.5571817543. The cubic root of 85221648 is about 440.0648113895.

It can be divided in two parts, 852 and 21648, that added together give a square (22500 = 150²).

The spelling of 85221648 in words is "eighty-five million, two hundred twenty-one thousand, six hundred forty-eight".