85029630 has 64 divisors (see below), whose sum is σ = 234800640. Its totient is φ = 19304064.

The previous prime is 85029629. The next prime is 85029641. The reversal of 85029630 is 3692058.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85029591 and 85029600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31681 + ... + 34259.

It is an arithmetic number, because the mean of its divisors is an integer number (3668760).

Almost surely, 2^85029630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85029630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117400320).

85029630 is an abundant number, since it is smaller than the sum of its proper divisors (149771010).

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

85029630 is a wasteful number, since it uses less digits than its factorization.

85029630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 85029630 is about 9221.1512296459. The cubic root of 85029630 is about 439.7340507171.

The spelling of 85029630 in words is "eighty-five million, twenty-nine thousand, six hundred thirty".