85992000 has 112 divisors (see below), whose sum is σ = 284024832. Its totient is φ = 22924800.

The previous prime is 85991993. The next prime is 85992007. The reversal of 85992000 is 29958.

It is an interprime number because it is at equal distance from previous prime (85991993) and next prime (85992007).

It is not an unprimeable number, because it can be changed into a prime (85992007) 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, 22209 + ... + 25791.

It is an arithmetic number, because the mean of its divisors is an integer number (2535936).

Almost surely, 2^85992000 is an apocalyptic number.

85992000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142012416).

85992000 is an abundant number, since it is smaller than the sum of its proper divisors (198032832).

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

85992000 is a wasteful number, since it uses less digits than its factorization.

85992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 85992000 is about 9273.1871543715. The cubic root of 85992000 is about 441.3868089827.

The spelling of 85992000 in words is "eighty-five million, nine hundred ninety-two thousand".