85746438 has 56 divisors (see below), whose sum is σ = 201304368. Its totient is φ = 27328752.

The previous prime is 85746433. The next prime is 85746467. The reversal of 85746438 is 83464758.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85746393 and 85746402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85746433) 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 27 ways as a sum of consecutive naturals, for example, 32256 + ... + 34812.

Almost surely, 2^85746438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85746438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100652184).

85746438 is an abundant number, since it is smaller than the sum of its proper divisors (115557930).

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

85746438 is a wasteful number, since it uses less digits than its factorization.

85746438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2585 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 85746438 is about 9259.9372568069. The cubic root of 85746438 is about 440.9662614756.

The spelling of 85746438 in words is "eighty-five million, seven hundred forty-six thousand, four hundred thirty-eight".