83452096 has 168 divisors, whose sum is σ = 218907360. Its totient is φ = 31223808.

The previous prime is 83452049. The next prime is 83452129. The reversal of 83452096 is 69025438.

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 23 ways as a sum of consecutive naturals, for example, 937620 + ... + 937708.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 2^83452096 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 83452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

83452096 is an abundant number, since it is smaller than the sum of its proper divisors (135455264).

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

83452096 is a wasteful number, since it uses less digits than its factorization.

83452096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 83452096 is about 9135.2118749375. The cubic root of 83452096 is about 436.9976313654.

The spelling of 83452096 in words is "eighty-three million, four hundred fifty-two thousand, ninety-six".