83322624 has 144 divisors (see below), whose sum is σ = 276675840. Its totient is φ = 21626880.

The previous prime is 83322599. The next prime is 83322641. The reversal of 83322624 is 42622338.

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

It is a junction number, because it is equal to n+sod(n) for n = 83322591 and 83322600.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 58432 + ... + 59840.

It is an arithmetic number, because the mean of its divisors is an integer number (1921360).

Almost surely, 2^83322624 is an apocalyptic number.

83322624 is a gapful number since it is divisible by the number (84) 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 83322624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138337920).

83322624 is an abundant number, since it is smaller than the sum of its proper divisors (193353216).

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

83322624 is a wasteful number, since it uses less digits than its factorization.

83322624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 83322624 is about 9128.1226985618. The cubic root of 83322624 is about 436.7715206378.

The spelling of 83322624 in words is "eighty-three million, three hundred twenty-two thousand, six hundred twenty-four".