85345344 has 168 divisors, whose sum is σ = 284975808. Its totient is φ = 23915520.

The previous prime is 85345339. The next prime is 85345363. The reversal of 85345344 is 44354358.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85345299 and 85345308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245779 + ... + 246125.

Almost surely, 2^85345344 is an apocalyptic number.

85345344 is a gapful number since it is divisible by the number (84) 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 85345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142487904).

85345344 is an abundant number, since it is smaller than the sum of its proper divisors (199630464).

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

85345344 is a wasteful number, since it uses less digits than its factorization.

85345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 85345344 is about 9238.2543805635. The cubic root of 85345344 is about 440.2776209396.

The spelling of 85345344 in words is "eighty-five million, three hundred forty-five thousand, three hundred forty-four".