85513820 has 72 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 28882560.

The previous prime is 85513819. The next prime is 85513829. The reversal of 85513820 is 2831558.

It is a happy number.

It is a super-2 number, since 2×85513820² = 14625226821984800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85513829) 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 23 ways as a sum of consecutive naturals, for example, 68966 + ... + 70194.

It is an arithmetic number, because the mean of its divisors is an integer number (2944620).

Almost surely, 2^85513820 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 85513820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

85513820 is an abundant number, since it is smaller than the sum of its proper divisors (126498820).

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

85513820 is a wasteful number, since it uses less digits than its factorization.

85513820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85513820 is about 9247.3682742713. The cubic root of 85513820 is about 440.5671405676.

The spelling of 85513820 in words is "eighty-five million, five hundred thirteen thousand, eight hundred twenty".