85400832 has 108 divisors (see below), whose sum is σ = 250103840. Its totient is φ = 25850880.

The previous prime is 85400831. The next prime is 85400851. The reversal of 85400832 is 23800458.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 85400832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85400831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92469 + ... + 93387.

Almost surely, 2^85400832 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 85400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125051920).

85400832 is an abundant number, since it is smaller than the sum of its proper divisors (164703008).

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

85400832 is a wasteful number, since it uses less digits than its factorization.

85400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85400832 is about 9241.2570573489. The cubic root of 85400832 is about 440.3730170129.

The spelling of 85400832 in words is "eighty-five million, four hundred thousand, eight hundred thirty-two".