85467648 has 80 divisors (see below), whose sum is σ = 260251200. Its totient is φ = 24416256.

The previous prime is 85467637. The next prime is 85467659. The reversal of 85467648 is 84676458.

It is an interprime number because it is at equal distance from previous prime (85467637) and next prime (85467659).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 85467597 and 85467606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6778 + ... + 14726.

It is an arithmetic number, because the mean of its divisors is an integer number (3253140).

Almost surely, 2^85467648 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 85467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130125600).

85467648 is an abundant number, since it is smaller than the sum of its proper divisors (174783552).

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

85467648 is an equidigital number, since it uses as much as digits as its factorization.

85467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7961 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 85467648 is about 9244.8714431300. The cubic root of 85467648 is about 440.4878335885.

The spelling of 85467648 in words is "eighty-five million, four hundred sixty-seven thousand, six hundred forty-eight".