85786008 has 128 divisors (see below), whose sum is σ = 272125440. Its totient is φ = 21888000.

The previous prime is 85785971. The next prime is 85786009. The reversal of 85786008 is 80068758.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85786009) 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, 112348 + ... + 113108.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2^85786008 is an apocalyptic number.

85786008 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 85786008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

85786008 is an abundant number, since it is smaller than the sum of its proper divisors (186339432).

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

85786008 is a wasteful number, since it uses less digits than its factorization.

85786008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 85786008 is about 9262.0736339116. The cubic root of 85786008 is about 441.0340829577.

The spelling of 85786008 in words is "eighty-five million, seven hundred eighty-six thousand, eight".