85371432 has 64 divisors (see below), whose sum is σ = 221214720. Its totient is φ = 27433728.

The previous prime is 85371431. The next prime is 85371439. The reversal of 85371432 is 23417358.

It is a junction number, because it is equal to n+sod(n) for n = 85371393 and 85371402.

It is not an unprimeable number, because it can be changed into a prime (85371431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112398 + ... + 113154.

It is an arithmetic number, because the mean of its divisors is an integer number (3456480).

Almost surely, 2^85371432 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 85371432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110607360).

85371432 is an abundant number, since it is smaller than the sum of its proper divisors (135843288).

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

85371432 is a wasteful number, since it uses less digits than its factorization.

85371432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 85371432 is about 9239.6662277379. Note that the first 3 decimals coincide. The cubic root of 85371432 is about 440.3224770966.

The spelling of 85371432 in words is "eighty-five million, three hundred seventy-one thousand, four hundred thirty-two".