85497792 has 56 divisors (see below), whose sum is σ = 231751632. Its totient is φ = 27801600.

The previous prime is 85497791. The next prime is 85497823. The reversal of 85497792 is 29779458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85497791) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 13302.

It is an arithmetic number, because the mean of its divisors is an integer number (4138422).

Almost surely, 2^85497792 is an apocalyptic number.

85497792 is a gapful number since it is divisible by the number (82) 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 85497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115875816).

85497792 is an abundant number, since it is smaller than the sum of its proper divisors (146253840).

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

85497792 is a wasteful number, since it uses less digits than its factorization.

85497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917 (or 10907 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 85497792 is about 9246.5016087167. The cubic root of 85497792 is about 440.5396134328.

The spelling of 85497792 in words is "eighty-five million, four hundred ninety-seven thousand, seven hundred ninety-two".