85963504 has 40 divisors (see below), whose sum is σ = 183403440. Its totient is φ = 38707200.

The previous prime is 85963499. The next prime is 85963513. The reversal of 85963504 is 40536958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16944 + ... + 21424.

It is an arithmetic number, because the mean of its divisors is an integer number (4585086).

Almost surely, 2^85963504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85963504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91701720).

85963504 is an abundant number, since it is smaller than the sum of its proper divisors (97439936).

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

85963504 is a wasteful number, since it uses less digits than its factorization.

85963504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 85963504 is about 9271.6505542433. The cubic root of 85963504 is about 441.3380480588.

It can be divided in two parts, 8596 and 3504, that added together give a square (12100 = 110²).

The spelling of 85963504 in words is "eighty-five million, nine hundred sixty-three thousand, five hundred four".