83476960 has 96 divisors (see below), whose sum is σ = 228699072. Its totient is φ = 28200960.

The previous prime is 83476949. The next prime is 83476963. The reversal of 83476960 is 6967438.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83476963) 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 15 ways as a sum of consecutive naturals, for example, 81250 + ... + 82270.

It is an arithmetic number, because the mean of its divisors is an integer number (2382282).

Almost surely, 2^83476960 is an apocalyptic number.

83476960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114349536).

83476960 is an abundant number, since it is smaller than the sum of its proper divisors (145222112).

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

83476960 is a wasteful number, since it uses less digits than its factorization.

83476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 83476960 is about 9136.5726615619. The cubic root of 83476960 is about 437.0410272404.

The spelling of 83476960 in words is "eighty-three million, four hundred seventy-six thousand, nine hundred sixty".