85323456 has 140 divisors (see below), whose sum is σ = 256936240. Its totient is φ = 27993600.

The previous prime is 85323451. The next prime is 85323461. The reversal of 85323456 is 65432358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85323451) and next prime (85323461).

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 85323456.

It is not an unprimeable number, because it can be changed into a prime (85323451) 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 19 ways as a sum of consecutive naturals, for example, 564981 + ... + 565131.

Almost surely, 2^85323456 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 85323456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468120).

85323456 is an abundant number, since it is smaller than the sum of its proper divisors (171612784).

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

85323456 is a wasteful number, since it uses less digits than its factorization.

85323456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 85323456 is about 9237.0696652131. The cubic root of 85323456 is about 440.2399792826.

The spelling of 85323456 in words is "eighty-five million, three hundred twenty-three thousand, four hundred fifty-six".