83346496 has 56 divisors (see below), whose sum is σ = 172944536. Its totient is φ = 39813120.

The previous prime is 83346491. The next prime is 83346499. The reversal of 83346496 is 69464338.

It can be written as a sum of positive squares in 4 ways, for example, as 32080896 + 51265600 = 5664^2 + 7160^2 .

It is not an unprimeable number, because it can be changed into a prime (83346491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144160 + ... + 144736.

Almost surely, 2^83346496 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 83346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86472268).

83346496 is an abundant number, since it is smaller than the sum of its proper divisors (89598040).

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

83346496 is a wasteful number, since it uses less digits than its factorization.

83346496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 677 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 83346496 is about 9129.4302122312. The cubic root of 83346496 is about 436.8132284544.

The spelling of 83346496 in words is "eighty-three million, three hundred forty-six thousand, four hundred ninety-six".