85706010 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 19077120.

The previous prime is 85706003. The next prime is 85706011. The reversal of 85706010 is 1060758.

85706010 is a `hidden beast` number, since 8 + 57 + 0 + 601 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85706011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 616521 + ... + 616659.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^85706010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85706010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

85706010 is an abundant number, since it is smaller than the sum of its proper divisors (178470630).

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

85706010 is a wasteful number, since it uses less digits than its factorization.

85706010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 85706010 is about 9257.7540472838. The cubic root of 85706010 is about 440.8969478615.

Adding to 85706010 its reverse (1060758), we get a palindrome (86766768).

The spelling of 85706010 in words is "eighty-five million, seven hundred six thousand, ten".