83029632 has 256 divisors, whose sum is σ = 282009600. Its totient is φ = 21086208.

The previous prime is 83029621. The next prime is 83029637. The reversal of 83029632 is 23692038.

It is a junction number, because it is equal to n+sod(n) for n = 83029593 and 83029602.

It is not an unprimeable number, because it can be changed into a prime (83029637) 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 31 ways as a sum of consecutive naturals, for example, 1050969 + ... + 1051047.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^83029632 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 83029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141004800).

83029632 is an abundant number, since it is smaller than the sum of its proper divisors (198979968).

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

83029632 is a wasteful number, since it uses less digits than its factorization.

83029632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 83029632 is about 9112.0597012970. The cubic root of 83029632 is about 436.2589713620.

The spelling of 83029632 in words is "eighty-three million, twenty-nine thousand, six hundred thirty-two".