83446792 has 96 divisors (see below), whose sum is σ = 191842560. Its totient is φ = 33696000.

The previous prime is 83446777. The next prime is 83446793. The reversal of 83446792 is 29764438.

It is not an unprimeable number, because it can be changed into a prime (83446793) 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 23 ways as a sum of consecutive naturals, for example, 460942 + ... + 461122.

It is an arithmetic number, because the mean of its divisors is an integer number (1998360).

Almost surely, 2^83446792 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 83446792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95921280).

83446792 is an abundant number, since it is smaller than the sum of its proper divisors (108395768).

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

83446792 is a wasteful number, since it uses less digits than its factorization.

83446792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 83446792 is about 9134.9215650710. The cubic root of 83446792 is about 436.9883730218.

The spelling of 83446792 in words is "eighty-three million, four hundred forty-six thousand, seven hundred ninety-two".