85584056 has 64 divisors (see below), whose sum is σ = 179020800. Its totient is φ = 38188800.

The previous prime is 85583987. The next prime is 85584073. The reversal of 85584056 is 65048558.

It is a super-2 number, since 2×85584056² = 14649261282822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 192971 + ... + 193413.

It is an arithmetic number, because the mean of its divisors is an integer number (2797200).

Almost surely, 2^85584056 is an apocalyptic number.

It is an amenable number.

85584056 is an abundant number, since it is smaller than the sum of its proper divisors (93436744).

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

85584056 is a wasteful number, since it uses less digits than its factorization.

85584056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 85584056 is about 9251.1651158111. The cubic root of 85584056 is about 440.6877261672.

The spelling of 85584056 in words is "eighty-five million, five hundred eighty-four thousand, fifty-six".