85866528 has 192 divisors, whose sum is σ = 263983104. Its totient is φ = 24192000.

The previous prime is 85866523. The next prime is 85866551. The reversal of 85866528 is 82566858.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (85866523) 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, 1407618 + ... + 1407678.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^85866528 is an apocalyptic number.

85866528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85866528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

85866528 is an abundant number, since it is smaller than the sum of its proper divisors (178116576).

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

85866528 is a wasteful number, since it uses less digits than its factorization.

85866528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 85866528 is about 9266.4193731991. The cubic root of 85866528 is about 441.1720268185.

85866528 divided by its sum of digits (48) gives a triangular number (1788886 = T₁₈₉₁).

The spelling of 85866528 in words is "eighty-five million, eight hundred sixty-six thousand, five hundred twenty-eight".