93500820 has 108 divisors (see below), whose sum is σ = 329955444. Its totient is φ = 21369600.

The previous prime is 93500807. The next prime is 93500821. The reversal of 93500820 is 2800539.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 35070084 = 7644^2 + 5922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93500821) 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 35 ways as a sum of consecutive naturals, for example, 3520 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (3055143).

Almost surely, 2^93500820 is an apocalyptic number.

93500820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93500820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164977722).

93500820 is an abundant number, since it is smaller than the sum of its proper divisors (236454624).

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

93500820 is a wasteful number, since it uses less digits than its factorization.

93500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 93500820 is about 9669.5822040045. The cubic root of 93500820 is about 453.8773109967.

It can be divided in two parts, 935008 and 20, that added together give a triangular number (935028 = T₁₃₆₇).

The spelling of 93500820 in words is "ninety-three million, five hundred thousand, eight hundred twenty".