85594368 has 72 divisors (see below), whose sum is σ = 231789600. Its totient is φ = 28033024.

The previous prime is 85594351. The next prime is 85594387. The reversal of 85594368 is 86349558.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44368 + ... + 46256.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2^85594368 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 85594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115894800).

85594368 is an abundant number, since it is smaller than the sum of its proper divisors (146195232).

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

85594368 is a wasteful number, since it uses less digits than its factorization.

85594368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1953 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 85594368 is about 9251.7224342281. The cubic root of 85594368 is about 440.7054249051.

85594368 divided by its sum of digits (48) gives a triangular number (1783216 = T₁₈₈₈).

The spelling of 85594368 in words is "eighty-five million, five hundred ninety-four thousand, three hundred sixty-eight".