85292000 has 48 divisors (see below), whose sum is σ = 209572272. Its totient is φ = 34115200.

The previous prime is 85291967. The next prime is 85292029. The reversal of 85292000 is 29258.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6662 + ... + 14661.

It is an arithmetic number, because the mean of its divisors is an integer number (4366089).

Almost surely, 2^85292000 is an apocalyptic number.

85292000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85292000 is an abundant number, since it is smaller than the sum of its proper divisors (124280272).

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

85292000 is a wasteful number, since it uses less digits than its factorization.

85292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21348 (or 21330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 85292000 is about 9235.3668037604. The cubic root of 85292000 is about 440.1858718832.

The spelling of 85292000 in words is "eighty-five million, two hundred ninety-two thousand".