83051904 has 128 divisors (see below), whose sum is σ = 241274880. Its totient is φ = 25159680.

The previous prime is 83051861. The next prime is 83051909. The reversal of 83051904 is 40915038.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83051909) 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 15 ways as a sum of consecutive naturals, for example, 633919 + ... + 634049.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^83051904 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 83051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120637440).

83051904 is an abundant number, since it is smaller than the sum of its proper divisors (158222976).

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

83051904 is a wasteful number, since it uses less digits than its factorization.

83051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 83051904 is about 9113.2817360158. The cubic root of 83051904 is about 436.2979754738.

The spelling of 83051904 in words is "eighty-three million, fifty-one thousand, nine hundred four".