83264832 has 168 divisors, whose sum is σ = 276734016. Its totient is φ = 23445504.

The previous prime is 83264789. The next prime is 83264833. The reversal of 83264832 is 23846238.

83264832 is a `hidden beast` number, since 8 + 3 + 2 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83264833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431328 + ... + 431520.

Almost surely, 2^83264832 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 83264832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138367008).

83264832 is an abundant number, since it is smaller than the sum of its proper divisors (193469184).

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

83264832 is a wasteful number, since it uses less digits than its factorization.

83264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 83264832 is about 9124.9565478417. The cubic root of 83264832 is about 436.6705167062.

The spelling of 83264832 in words is "eighty-three million, two hundred sixty-four thousand, eight hundred thirty-two".