85375836 has 288 divisors, whose sum is σ = 297622080. Its totient is φ = 20901888.

The previous prime is 85375813. The next prime is 85375837. The reversal of 85375836 is 63857358.

It is a junction number, because it is equal to n+sod(n) for n = 85375791 and 85375800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85375837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1169496 + ... + 1169568.

It is an arithmetic number, because the mean of its divisors is an integer number (1033410).

Almost surely, 2^85375836 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 85375836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811040).

85375836 is an abundant number, since it is smaller than the sum of its proper divisors (212246244).

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

85375836 is a wasteful number, since it uses less digits than its factorization.

85375836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 85375836 is about 9239.9045449615. The cubic root of 85375836 is about 440.3300485086.

The spelling of 85375836 in words is "eighty-five million, three hundred seventy-five thousand, eight hundred thirty-six".