83960904 has 64 divisors (see below), whose sum is σ = 215784000. Its totient is φ = 27213056.

The previous prime is 83960869. The next prime is 83960917. The reversal of 83960904 is 40906938.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189307 + ... + 189749.

It is an arithmetic number, because the mean of its divisors is an integer number (3371625).

Almost surely, 2^83960904 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 83960904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107892000).

83960904 is an abundant number, since it is smaller than the sum of its proper divisors (131823096).

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

83960904 is a wasteful number, since it uses less digits than its factorization.

83960904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 83960904 is about 9163.0182800211. The cubic root of 83960904 is about 437.8839583336.

The spelling of 83960904 in words is "eighty-three million, nine hundred sixty thousand, nine hundred four".