83362048 has 72 divisors (see below), whose sum is σ = 207506880. Its totient is φ = 32471040.

The previous prime is 83362043. The next prime is 83362109. The reversal of 83362048 is 84026338.

It is not an unprimeable number, because it can be changed into a prime (83362043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17598 + ... + 21826.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 2^83362048 is an apocalyptic number.

83362048 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 83362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753440).

83362048 is an abundant number, since it is smaller than the sum of its proper divisors (124144832).

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

83362048 is a wasteful number, since it uses less digits than its factorization.

83362048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4263 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 83362048 is about 9130.2819233581. The cubic root of 83362048 is about 436.8403957506.

The spelling of 83362048 in words is "eighty-three million, three hundred sixty-two thousand, forty-eight".