85132992 has 84 divisors (see below), whose sum is σ = 262051800. Its totient is φ = 24321024.

The previous prime is 85132987. The next prime is 85132997. The reversal of 85132992 is 29923158.

It is an interprime number because it is at equal distance from previous prime (85132987) and next prime (85132997).

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 85132992.

It is not an unprimeable number, because it can be changed into a prime (85132997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4884 + ... + 13932.

Almost surely, 2^85132992 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 85132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131025900).

85132992 is an abundant number, since it is smaller than the sum of its proper divisors (176918808).

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

85132992 is a wasteful number, since it uses less digits than its factorization.

85132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9061 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 85132992 is about 9226.7541421672. The cubic root of 85132992 is about 439.9121587732.

The spelling of 85132992 in words is "eighty-five million, one hundred thirty-two thousand, nine hundred ninety-two".