83514496 has 64 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 37278720.

The previous prime is 83514479. The next prime is 83514503. The reversal of 83514496 is 69441538.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 50775 + ... + 52393.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^83514496 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 83514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

83514496 is an abundant number, since it is smaller than the sum of its proper divisors (101554304).

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

83514496 is a wasteful number, since it uses less digits than its factorization.

83514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 83514496 is about 9138.6265926560. The cubic root of 83514496 is about 437.1065236112.

The spelling of 83514496 in words is "eighty-three million, five hundred fourteen thousand, four hundred ninety-six".