85765392 has 180 divisors, whose sum is σ = 268462480. Its totient is φ = 26453952.

The previous prime is 85765343. The next prime is 85765397. The reversal of 85765392 is 29356758.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85765397) 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 35 ways as a sum of consecutive naturals, for example, 1994523 + ... + 1994565.

Almost surely, 2^85765392 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 85765392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134231240).

85765392 is an abundant number, since it is smaller than the sum of its proper divisors (182697088).

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

85765392 is an equidigital number, since it uses as much as digits as its factorization.

85765392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 67 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85765392 is about 9260.9606413158. The cubic root of 85765392 is about 440.9987505171.

The spelling of 85765392 in words is "eighty-five million, seven hundred sixty-five thousand, three hundred ninety-two".