85791420 has 288 divisors, whose sum is σ = 319072320. Its totient is φ = 19008000.

The previous prime is 85791413. The next prime is 85791427. The reversal of 85791420 is 2419758.

It is an interprime number because it is at equal distance from previous prime (85791413) and next prime (85791427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85791427) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 849370 + ... + 849470.

It is an arithmetic number, because the mean of its divisors is an integer number (1107890).

Almost surely, 2^85791420 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 85791420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159536160).

85791420 is an abundant number, since it is smaller than the sum of its proper divisors (233280900).

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

85791420 is a wasteful number, since it uses less digits than its factorization.

85791420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85791420 is about 9262.3657885013. The cubic root of 85791420 is about 441.0433572995.

It can be divided in two parts, 8579 and 1420, that added together give a palindrome (9999).

The spelling of 85791420 in words is "eighty-five million, seven hundred ninety-one thousand, four hundred twenty".