83295104 has 64 divisors (see below), whose sum is σ = 177908400. Its totient is φ = 38707200.

The previous prime is 83295101. The next prime is 83295127. The reversal of 83295104 is 40159238.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83295101) 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, 219587 + ... + 219965.

Almost surely, 2^83295104 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 83295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88954200).

83295104 is an abundant number, since it is smaller than the sum of its proper divisors (94613296).

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

83295104 is a wasteful number, since it uses less digits than its factorization.

83295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 83295104 is about 9126.6151447292. The cubic root of 83295104 is about 436.7234293542.

The spelling of 83295104 in words is "eighty-three million, two hundred ninety-five thousand, one hundred four".