85406336 has 32 divisors (see below), whose sum is σ = 172216800. Its totient is φ = 42183424.

The previous prime is 85406327. The next prime is 85406359. The reversal of 85406336 is 63360458.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 85406296 and 85406305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6605 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (5381775).

Almost surely, 2^85406336 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 85406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86108400).

85406336 is an abundant number, since it is smaller than the sum of its proper divisors (86810464).

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

85406336 is an equidigital number, since it uses as much as digits as its factorization.

85406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 85406336 is about 9241.5548475351. The cubic root of 85406336 is about 440.3824773462.

The spelling of 85406336 in words is "eighty-five million, four hundred six thousand, three hundred thirty-six".