83826220368 has 80 divisors (see below), whose sum is σ = 236640854016. Its totient is φ = 25358517120.

The previous prime is 83826220349. The next prime is 83826220369. The reversal of 83826220368 is 86302262838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83826220369) 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, 174705 + ... + 445167.

Almost surely, 2^83826220368 is an apocalyptic number.

83826220368 is a gapful number since it is divisible by the number (88) 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 83826220368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320427008).

83826220368 is an abundant number, since it is smaller than the sum of its proper divisors (152814633648).

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

83826220368 is a wasteful number, since it uses less digits than its factorization.

83826220368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271072 (or 271066 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 83826220368 in words is "eighty-three billion, eight hundred twenty-six million, two hundred twenty thousand, three hundred sixty-eight".