83320632 has 72 divisors (see below), whose sum is σ = 230157720. Its totient is φ = 27230400.

The previous prime is 83320619. The next prime is 83320637. The reversal of 83320632 is 23602338.

83320632 is a `hidden beast` number, since 8 + 3 + 3 + 20 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 83320596 and 83320605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83320637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267757 + ... + 268067.

It is an arithmetic number, because the mean of its divisors is an integer number (3196635).

Almost surely, 2^83320632 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 83320632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115078860).

83320632 is an abundant number, since it is smaller than the sum of its proper divisors (146837088).

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

83320632 is a wasteful number, since it uses less digits than its factorization.

83320632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 83320632 is about 9128.0135845648. The cubic root of 83320632 is about 436.7680399673.

The spelling of 83320632 in words is "eighty-three million, three hundred twenty thousand, six hundred thirty-two".