83216960 has 56 divisors (see below), whose sum is σ = 208605120. Its totient is φ = 31532544.

The previous prime is 83216957. The next prime is 83216977. The reversal of 83216960 is 6961238.

It is a self number, because there is not a number n which added to its sum of digits gives 83216960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764 + ... + 12923.

Almost surely, 2^83216960 is an apocalyptic number.

83216960 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 83216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104302560).

83216960 is an abundant number, since it is smaller than the sum of its proper divisors (125388160).

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

83216960 is a wasteful number, since it uses less digits than its factorization.

83216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13723 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 83216960 is about 9122.3330349204. Note that the first 3 decimals coincide. The cubic root of 83216960 is about 436.5868147079.

The spelling of 83216960 in words is "eighty-three million, two hundred sixteen thousand, nine hundred sixty".