83146960 has 80 divisors (see below), whose sum is σ = 214986240. Its totient is φ = 29698560.

The previous prime is 83146919. The next prime is 83146961. The reversal of 83146960 is 6964138.

83146960 is a nontrivial binomial coefficient, being equal to C(12896, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83146961) 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, 30951 + ... + 33529.

It is an arithmetic number, because the mean of its divisors is an integer number (2687328).

Almost surely, 2^83146960 is an apocalyptic number.

83146960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83146960 is the 12895-th triangular number and also the 6448-th hexagonal number.

83146960 is the 4299-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107493120).

83146960 is an abundant number, since it is smaller than the sum of its proper divisors (131839280).

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

83146960 is a wasteful number, since it uses less digits than its factorization.

83146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 83146960 is about 9118.4954899369. The cubic root of 83146960 is about 436.4643651091.

The spelling of 83146960 in words is "eighty-three million, one hundred forty-six thousand, nine hundred sixty".