85684032 has 168 divisors, whose sum is σ = 285292800. Its totient is φ = 24081408.

The previous prime is 85684019. The next prime is 85684033. The reversal of 85684032 is 23048658.

It is a tau number, because it is divible by the number of its divisors (168).

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 (85684033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318394 + ... + 318662.

Almost surely, 2^85684032 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 85684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

85684032 is an abundant number, since it is smaller than the sum of its proper divisors (199608768).

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

85684032 is a wasteful number, since it uses less digits than its factorization.

85684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

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

The square root of 85684032 is about 9256.5669662138. The cubic root of 85684032 is about 440.8592575388.

The spelling of 85684032 in words is "eighty-five million, six hundred eighty-four thousand, thirty-two".