85633456 has 40 divisors (see below), whose sum is σ = 176439600. Its totient is φ = 40147200.

The previous prime is 85633409. The next prime is 85633463. The reversal of 85633456 is 65433658.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29310 + ... + 32098.

It is an arithmetic number, because the mean of its divisors is an integer number (4410990).

Almost surely, 2^85633456 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 85633456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88219800).

85633456 is an abundant number, since it is smaller than the sum of its proper divisors (90806144).

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

85633456 is a wasteful number, since it uses less digits than its factorization.

85633456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2911 counting only the distinct ones).

The product of its digits is 259200, while the sum is 40.

The square root of 85633456 is about 9253.8346646134. The cubic root of 85633456 is about 440.7724996925.

The spelling of 85633456 in words is "eighty-five million, six hundred thirty-three thousand, four hundred fifty-six".