85732608 has 144 divisors (see below), whose sum is σ = 254567936. Its totient is φ = 25436160.

The previous prime is 85732607. The next prime is 85732637. The reversal of 85732608 is 80623758.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85732601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309366 + ... + 309642.

Almost surely, 2^85732608 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 85732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127283968).

85732608 is an abundant number, since it is smaller than the sum of its proper divisors (168835328).

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

85732608 is a wasteful number, since it uses less digits than its factorization.

85732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 85732608 is about 9259.1904613740. The cubic root of 85732608 is about 440.9425524584.

The spelling of 85732608 in words is "eighty-five million, seven hundred thirty-two thousand, six hundred eight".