85567440 has 240 divisors, whose sum is σ = 319158144. Its totient is φ = 18570240.

The previous prime is 85567397. The next prime is 85567457. The reversal of 85567440 is 4476558.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1614454 + ... + 1614506.

Almost surely, 2^85567440 is an apocalyptic number.

85567440 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 85567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159579072).

85567440 is an abundant number, since it is smaller than the sum of its proper divisors (233590704).

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

85567440 is a wasteful number, since it uses less digits than its factorization.

85567440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 85567440 is about 9250.2670231729. The cubic root of 85567440 is about 440.6592047286.

The spelling of 85567440 in words is "eighty-five million, five hundred sixty-seven thousand, four hundred forty".