85510656 has 240 divisors, whose sum is σ = 308962368. Its totient is φ = 22118400.

The previous prime is 85510639. The next prime is 85510657. The reversal of 85510656 is 65601558.

85510656 is a `hidden beast` number, since 85 + 510 + 65 + 6 = 666.

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 85510656.

It is not an unprimeable number, because it can be changed into a prime (85510657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354696 + ... + 354936.

Almost surely, 2^85510656 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 85510656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481184).

85510656 is an abundant number, since it is smaller than the sum of its proper divisors (223451712).

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

85510656 is a wasteful number, since it uses less digits than its factorization.

85510656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85510656 is about 9247.1971969889. The cubic root of 85510656 is about 440.5617068587.

It can be divided in two parts, 855 and 10656, that added together give a palindrome (11511).

The spelling of 85510656 in words is "eighty-five million, five hundred ten thousand, six hundred fifty-six".