85038336 has 108 divisors (see below), whose sum is σ = 254453472. Its totient is φ = 28325376.

The previous prime is 85038329. The next prime is 85038413. The reversal of 85038336 is 63383058.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-4 number, since 4×85038336⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85038336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61525 + ... + 62891.

Almost surely, 2^85038336 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 85038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127226736).

85038336 is an abundant number, since it is smaller than the sum of its proper divisors (169415136).

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

85038336 is an equidigital number, since it uses as much as digits as its factorization.

85038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 85038336 is about 9221.6232844332. The cubic root of 85038336 is about 439.7490580112.

The spelling of 85038336 in words is "eighty-five million, thirty-eight thousand, three hundred thirty-six".