85440096 has 240 divisors, whose sum is σ = 305163936. Its totient is φ = 22892544.

The previous prime is 85440073. The next prime is 85440107. The reversal of 85440096 is 69004458.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85440096.

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 39 ways as a sum of consecutive naturals, for example, 308310 + ... + 308586.

Almost surely, 2^85440096 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 85440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152581968).

85440096 is an abundant number, since it is smaller than the sum of its proper divisors (219723840).

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

85440096 is a wasteful number, since it uses less digits than its factorization.

85440096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

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

The square root of 85440096 is about 9243.3811995395. The cubic root of 85440096 is about 440.4404955004.

The spelling of 85440096 in words is "eighty-five million, four hundred forty thousand, ninety-six".