83122368 has 112 divisors (see below), whose sum is σ = 262371840. Its totient is φ = 22708224.

The previous prime is 83122363. The next prime is 83122379. The reversal of 83122368 is 86322138.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (83122363) by changing a digit.

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, 29568 + ... + 32256.

Almost surely, 2^83122368 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 83122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131185920).

83122368 is an abundant number, since it is smaller than the sum of its proper divisors (179249472).

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

83122368 is a wasteful number, since it uses less digits than its factorization.

83122368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2724 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 83122368 is about 9117.1469221462. The cubic root of 83122368 is about 436.4213305029.

The spelling of 83122368 in words is "eighty-three million, one hundred twenty-two thousand, three hundred sixty-eight".