83349504 has 312 divisors, whose sum is σ = 306671040. Its totient is φ = 21233664.

The previous prime is 83349499. The next prime is 83349529. The reversal of 83349504 is 40594338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4386807 + ... + 4386825.

It is an arithmetic number, because the mean of its divisors is an integer number (982920).

Almost surely, 2^83349504 is an apocalyptic number.

83349504 is a gapful number since it is divisible by the number (84) 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 83349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153335520).

83349504 is an abundant number, since it is smaller than the sum of its proper divisors (223321536).

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

83349504 is a wasteful number, since it uses less digits than its factorization.

83349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83349504 is about 9129.5949526800. The cubic root of 83349504 is about 436.8184832979.

The spelling of 83349504 in words is "eighty-three million, three hundred forty-nine thousand, five hundred four".