83223840 has 384 divisors, whose sum is σ = 334430208. Its totient is φ = 16957440.

The previous prime is 83223817. The next prime is 83223901. The reversal of 83223840 is 4832238.

It is a super-3 number, since 3×83223840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 83223798 and 83223807.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1770697 + ... + 1770743.

It is an arithmetic number, because the mean of its divisors is an integer number (870912).

Almost surely, 2^83223840 is an apocalyptic number.

83223840 is a gapful number since it is divisible by the number (80) 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 83223840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

83223840 is an abundant number, since it is smaller than the sum of its proper divisors (251206368).

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

83223840 is a wasteful number, since it uses less digits than its factorization.

83223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 83223840 is about 9122.7101236420. The cubic root of 83223840 is about 436.5988460475.

The spelling of 83223840 in words is "eighty-three million, two hundred twenty-three thousand, eight hundred forty".