85890630 has 128 divisors (see below), whose sum is σ = 255052800. Its totient is φ = 18439680.

The previous prime is 85890619. The next prime is 85890689. The reversal of 85890630 is 3609858.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 174685 + ... + 175175.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 2^85890630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85890630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127526400).

85890630 is an abundant number, since it is smaller than the sum of its proper divisors (169162170).

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

85890630 is a wasteful number, since it uses less digits than its factorization.

85890630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85890630 is about 9267.7197842835. The cubic root of 85890630 is about 441.2133006952.

The spelling of 85890630 in words is "eighty-five million, eight hundred ninety thousand, six hundred thirty".