83682960 has 80 divisors (see below), whose sum is σ = 260340480. Its totient is φ = 22236160.

The previous prime is 83682913. The next prime is 83682971. The reversal of 83682960 is 6928638.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103036 + ... + 103844.

It is an arithmetic number, because the mean of its divisors is an integer number (3254256).

Almost surely, 2^83682960 is an apocalyptic number.

83682960 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 83682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130170240).

83682960 is an abundant number, since it is smaller than the sum of its proper divisors (176657520).

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

83682960 is a wasteful number, since it uses less digits than its factorization.

83682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 83682960 is about 9147.8390890964. The cubic root of 83682960 is about 437.4002341222.

The spelling of 83682960 in words is "eighty-three million, six hundred eighty-two thousand, nine hundred sixty".