85795440 has 160 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 21915648.

The previous prime is 85795421. The next prime is 85795471. The reversal of 85795440 is 4459758.

It is a junction number, because it is equal to n+sod(n) for n = 85795392 and 85795401.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1033639 + ... + 1033721.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^85795440 is an apocalyptic number.

85795440 is a gapful number since it is divisible by the number (80) 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 85795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

85795440 is an abundant number, since it is smaller than the sum of its proper divisors (191686800).

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

85795440 is a wasteful number, since it uses less digits than its factorization.

85795440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 85795440 is about 9262.5827931522. The cubic root of 85795440 is about 441.0502459705.

The spelling of 85795440 in words is "eighty-five million, seven hundred ninety-five thousand, four hundred forty".