85468992 has 112 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 23127552.

The previous prime is 85468949. The next prime is 85469039. The reversal of 85468992 is 29986458.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23863 + ... + 27209.

Almost surely, 2^85468992 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 85468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

85468992 is an abundant number, since it is smaller than the sum of its proper divisors (186656448).

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

85468992 is a wasteful number, since it uses less digits than its factorization.

85468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3378 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 85468992 is about 9244.9441317944. The cubic root of 85468992 is about 440.4901425032.

The spelling of 85468992 in words is "eighty-five million, four hundred sixty-eight thousand, nine hundred ninety-two".