85434648 has 96 divisors (see below), whose sum is σ = 237328560. Its totient is φ = 25470720.

The previous prime is 85434637. The next prime is 85434649. The reversal of 85434648 is 84643458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85434649) 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 23 ways as a sum of consecutive naturals, for example, 1275111 + ... + 1275177.

Almost surely, 2^85434648 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 85434648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118664280).

85434648 is an abundant number, since it is smaller than the sum of its proper divisors (151893912).

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

85434648 is a wasteful number, since it uses less digits than its factorization.

85434648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 146 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 85434648 is about 9243.0864974856. The cubic root of 85434648 is about 440.4311338894.

The spelling of 85434648 in words is "eighty-five million, four hundred thirty-four thousand, six hundred forty-eight".