85887648 has 192 divisors, whose sum is σ = 312560640. Its totient is φ = 22291200.

The previous prime is 85887643. The next prime is 85887667. The reversal of 85887648 is 84678858.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85887594 and 85887603.

It is not an unprimeable number, because it can be changed into a prime (85887643) by changing a digit.

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, 65883 + ... + 67173.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^85887648 is an apocalyptic number.

85887648 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 85887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

85887648 is an abundant number, since it is smaller than the sum of its proper divisors (226672992).

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

85887648 is a wasteful number, since it uses less digits than its factorization.

85887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1314 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 85887648 is about 9267.5589018900. The cubic root of 85887648 is about 441.2081945376.

The spelling of 85887648 in words is "eighty-five million, eight hundred eighty-seven thousand, six hundred forty-eight".