85432500 has 90 divisors (see below), whose sum is σ = 269927658. Its totient is φ = 22776000.

The previous prime is 85432499. The next prime is 85432537. The reversal of 85432500 is 523458.

It can be written as a sum of positive squares in 5 ways, for example, as 61402896 + 24029604 = 7836^2 + 4902^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 20602 + ... + 24398.

Almost surely, 2^85432500 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 85432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134963829).

85432500 is an abundant number, since it is smaller than the sum of its proper divisors (184495158).

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

85432500 is a wasteful number, since it uses less digits than its factorization.

85432500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85432500 is about 9242.9703018023. The cubic root of 85432500 is about 440.4274427484.

Adding to 85432500 its reverse (523458), we get a palindrome (85955958).

The spelling of 85432500 in words is "eighty-five million, four hundred thirty-two thousand, five hundred".