85577856 has 256 divisors, whose sum is σ = 292454400. Its totient is φ = 21565440.

The previous prime is 85577839. The next prime is 85577857. The reversal of 85577856 is 65877558.

Its product of digits (2352000) is a multiple of the sum of its prime factors (147).

It is a junction number, because it is equal to n+sod(n) for n = 85577799 and 85577808.

It is not an unprimeable number, because it can be changed into a prime (85577857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083225 + ... + 1083303.

It is an arithmetic number, because the mean of its divisors is an integer number (1142400).

Almost surely, 2^85577856 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 85577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146227200).

85577856 is an abundant number, since it is smaller than the sum of its proper divisors (206876544).

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

85577856 is a wasteful number, since it uses less digits than its factorization.

85577856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 51.

The square root of 85577856 is about 9250.8300168147. The cubic root of 85577856 is about 440.6770842712.

The spelling of 85577856 in words is "eighty-five million, five hundred seventy-seven thousand, eight hundred fifty-six".