85469440 has 72 divisors (see below), whose sum is σ = 233997120. Its totient is φ = 29300736.

The previous prime is 85469411. The next prime is 85469491. The reversal of 85469440 is 4496458.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 85469393 and 85469402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4191 + ... + 13729.

It is an arithmetic number, because the mean of its divisors is an integer number (3249960).

Almost surely, 2^85469440 is an apocalyptic number.

85469440 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 85469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116998560).

85469440 is an abundant number, since it is smaller than the sum of its proper divisors (148527680).

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

85469440 is an equidigital number, since it uses as much as digits as its factorization.

85469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9567 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 85469440 is about 9244.9683612222. The cubic root of 85469440 is about 440.4909121361.

The spelling of 85469440 in words is "eighty-five million, four hundred sixty-nine thousand, four hundred forty".