85367648 has 48 divisors (see below), whose sum is σ = 176586480. Its totient is φ = 40567296.

The previous prime is 85367629. The next prime is 85367671. The reversal of 85367648 is 84676358.

It is a congruent number.

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, 61490 + ... + 62862.

It is an arithmetic number, because the mean of its divisors is an integer number (3678885).

Almost surely, 2^85367648 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 85367648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88293240).

85367648 is an abundant number, since it is smaller than the sum of its proper divisors (91218832).

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

85367648 is a wasteful number, since it uses less digits than its factorization.

85367648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its digits is 967680, while the sum is 47.

The square root of 85367648 is about 9239.4614561672. The cubic root of 85367648 is about 440.3159713884.

The spelling of 85367648 in words is "eighty-five million, three hundred sixty-seven thousand, six hundred forty-eight".