83585376 has 108 divisors (see below), whose sum is σ = 276550092. Its totient is φ = 23877504.

The previous prime is 83585363. The next prime is 83585377. The reversal of 83585376 is 67358538.

It is a super-2 number, since 2×83585376² = 13973030162122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83585377) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11151 + ... + 17073.

It is an arithmetic number, because the mean of its divisors is an integer number (2560649).

Almost surely, 2^83585376 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 83585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138275046).

83585376 is an abundant number, since it is smaller than the sum of its proper divisors (192964716).

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

83585376 is a wasteful number, since it uses less digits than its factorization.

83585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5935 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 83585376 is about 9142.5038146013. The cubic root of 83585376 is about 437.2301482553.

The spelling of 83585376 in words is "eighty-three million, five hundred eighty-five thousand, three hundred seventy-six".