85440960 has 448 divisors, whose sum is σ = 351129600. Its totient is φ = 19353600.

The previous prime is 85440911. The next prime is 85440961. The reversal of 85440960 is 6904458.

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 (85440961) 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 63 ways as a sum of consecutive naturals, for example, 2756145 + ... + 2756175.

Almost surely, 2^85440960 is an apocalyptic number.

85440960 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 85440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175564800).

85440960 is an abundant number, since it is smaller than the sum of its proper divisors (265688640).

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

85440960 is a wasteful number, since it uses less digits than its factorization.

85440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85440960 is about 9243.4279355659. The cubic root of 85440960 is about 440.4419801246.

It can be divided in two parts, 854 and 40960, that added together give a palindrome (41814).

The spelling of 85440960 in words is "eighty-five million, four hundred forty thousand, nine hundred sixty".