85806630 has 96 divisors (see below), whose sum is σ = 274607424. Its totient is φ = 18102528.

The previous prime is 85806613. The next prime is 85806647. The reversal of 85806630 is 3660858.

It is an interprime number because it is at equal distance from previous prime (85806613) and next prime (85806647).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2952 + ... + 13428.

It is an arithmetic number, because the mean of its divisors is an integer number (2860494).

Almost surely, 2^85806630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85806630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137303712).

85806630 is an abundant number, since it is smaller than the sum of its proper divisors (188800794).

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

85806630 is a wasteful number, since it uses less digits than its factorization.

85806630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10507 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85806630 is about 9263.1868166415. The cubic root of 85806630 is about 441.0694200187.

It can be divided in two parts, 85806 and 630, that added together give a square (86436 = 294²).

The spelling of 85806630 in words is "eighty-five million, eight hundred six thousand, six hundred thirty".