85194648 has 192 divisors, whose sum is σ = 292331520. Its totient is φ = 21954240.

The previous prime is 85194631. The next prime is 85194661. The reversal of 85194648 is 84649158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670761 + ... + 670887.

It is an arithmetic number, because the mean of its divisors is an integer number (1522560).

Almost surely, 2^85194648 is an apocalyptic number.

85194648 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 85194648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146165760).

85194648 is an abundant number, since it is smaller than the sum of its proper divisors (207136872).

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

85194648 is a wasteful number, since it uses less digits than its factorization.

85194648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85194648 is about 9230.0946907386. The cubic root of 85194648 is about 440.0183325695.

Subtracting from 85194648 its reverse (84649158), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 85194648 in words is "eighty-five million, one hundred ninety-four thousand, six hundred forty-eight".