85406832 has 160 divisors (see below), whose sum is σ = 285378560. Its totient is φ = 23950080.

The previous prime is 85406831. The next prime is 85406837. The reversal of 85406832 is 23860458.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85406831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184233 + ... + 184695.

It is an arithmetic number, because the mean of its divisors is an integer number (1783616).

Almost surely, 2^85406832 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 85406832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142689280).

85406832 is an abundant number, since it is smaller than the sum of its proper divisors (199971728).

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

85406832 is a wasteful number, since it uses less digits than its factorization.

85406832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85406832 is about 9241.5816828073. The cubic root of 85406832 is about 440.3833298563.

The spelling of 85406832 in words is "eighty-five million, four hundred six thousand, eight hundred thirty-two".