83585952 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 27523584.

The previous prime is 83585893. The next prime is 83585977. The reversal of 83585952 is 25958538.

83585952 is a `hidden beast` number, since 8 + 3 + 58 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×83585952² = 13973222743492608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83585898 and 83585907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76353 + ... + 77439.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^83585952 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 83585952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

83585952 is an abundant number, since it is smaller than the sum of its proper divisors (163172448).

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

83585952 is a wasteful number, since it uses less digits than its factorization.

83585952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 83585952 is about 9142.5353157644. The cubic root of 83585952 is about 437.2311525936.

The spelling of 83585952 in words is "eighty-three million, five hundred eighty-five thousand, nine hundred fifty-two".