85507392 has 56 divisors (see below), whose sum is σ = 231522016. Its totient is φ = 27836928.

The previous prime is 85507369. The next prime is 85507403. The reversal of 85507392 is 29370558.

It is a self number, because there is not a number n which added to its sum of digits gives 85507392.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3078 + ... + 13434.

Almost surely, 2^85507392 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 85507392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115761008).

85507392 is an abundant number, since it is smaller than the sum of its proper divisors (146014624).

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

85507392 is a wasteful number, since it uses less digits than its factorization.

85507392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 85507392 is about 9247.0207093961. The cubic root of 85507392 is about 440.5561012738.

The spelling of 85507392 in words is "eighty-five million, five hundred seven thousand, three hundred ninety-two".