83048672 has 96 divisors (see below), whose sum is σ = 200636352. Its totient is φ = 33030144.

The previous prime is 83048617. The next prime is 83048681. The reversal of 83048672 is 27684038.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 430208 + ... + 430400.

It is an arithmetic number, because the mean of its divisors is an integer number (2089962).

Almost surely, 2^83048672 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 83048672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100318176).

83048672 is an abundant number, since it is smaller than the sum of its proper divisors (117587680).

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

83048672 is a wasteful number, since it uses less digits than its factorization.

83048672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 83048672 is about 9113.1044106825. The cubic root of 83048672 is about 436.2923158270.

The spelling of 83048672 in words is "eighty-three million, forty-eight thousand, six hundred seventy-two".