83505604 has 54 divisors (see below), whose sum is σ = 184148874. Its totient is φ = 33022080.

The previous prime is 83505601. The next prime is 83505619. The reversal of 83505604 is 40650538.

It can be written as a sum of positive squares in 3 ways, for example, as 11289600 + 72216004 = 3360^2 + 8498^2 .

It is not an unprimeable number, because it can be changed into a prime (83505601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31864 + ... + 34384.

Almost surely, 2^83505604 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 83505604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92074437).

83505604 is an abundant number, since it is smaller than the sum of its proper divisors (100643270).

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

83505604 is a wasteful number, since it uses less digits than its factorization.

83505604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 83505604 is about 9138.1400733410. The cubic root of 83505604 is about 437.0910097809.

The spelling of 83505604 in words is "eighty-three million, five hundred five thousand, six hundred four".