83821824 has 144 divisors (see below), whose sum is σ = 252965440. Its totient is φ = 27371520.

The previous prime is 83821817. The next prime is 83821847. The reversal of 83821824 is 42812838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463014 + ... + 463194.

Almost surely, 2^83821824 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 83821824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126482720).

83821824 is an abundant number, since it is smaller than the sum of its proper divisors (169143616).

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

83821824 is a wasteful number, since it uses less digits than its factorization.

83821824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 83821824 is about 9155.4259322000. The cubic root of 83821824 is about 437.6420419331.

The spelling of 83821824 in words is "eighty-three million, eight hundred twenty-one thousand, eight hundred twenty-four".