85029792 has 24 divisors (see below), whose sum is σ = 223203456. Its totient is φ = 28343232.

The previous prime is 85029751. The next prime is 85029839. The reversal of 85029792 is 29792058.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 442768 + ... + 442959.

It is an arithmetic number, because the mean of its divisors is an integer number (9300144).

Almost surely, 2^85029792 is an apocalyptic number.

It is an amenable number.

85029792 is an abundant number, since it is smaller than the sum of its proper divisors (138173664).

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

85029792 is a wasteful number, since it uses less digits than its factorization.

85029792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885740 (or 885732 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 85029792 is about 9221.1600137944. The cubic root of 85029792 is about 439.7343299800.

The spelling of 85029792 in words is "eighty-five million, twenty-nine thousand, seven hundred ninety-two".