85496832 has 66 divisors (see below), whose sum is σ = 246896858. Its totient is φ = 28495872.

The previous prime is 85496821. The next prime is 85496837. The reversal of 85496832 is 23869458.

85496832 is a `hidden beast` number, since 85 + 496 + 83 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81432576 + 4064256 = 9024^2 + 2016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85496837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4578 + ... + 13854.

Almost surely, 2^85496832 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 85496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123448429).

85496832 is an abundant number, since it is smaller than the sum of its proper divisors (161400026).

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

85496832 is a wasteful number, since it uses less digits than its factorization.

85496832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303 (or 9282 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 85496832 is about 9246.4496970459. The cubic root of 85496832 is about 440.5379645808.

The spelling of 85496832 in words is "eighty-five million, four hundred ninety-six thousand, eight hundred thirty-two".