83726844 has 48 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 26260416.

The previous prime is 83726843. The next prime is 83726849. The reversal of 83726844 is 44862738.

It is a junction number, because it is equal to n+sod(n) for n = 83726796 and 83726805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83726843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34627 + ... + 36965.

It is an arithmetic number, because the mean of its divisors is an integer number (4313400).

Almost surely, 2^83726844 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 83726844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

83726844 is an abundant number, since it is smaller than the sum of its proper divisors (123316356).

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

83726844 is a wasteful number, since it uses less digits than its factorization.

83726844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2520 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 83726844 is about 9150.2373739701. The cubic root of 83726844 is about 437.4766794644.

The spelling of 83726844 in words is "eighty-three million, seven hundred twenty-six thousand, eight hundred forty-four".