83217680 has 240 divisors, whose sum is σ = 256483584. Its totient is φ = 24837120.

The previous prime is 83217661. The next prime is 83217689. The reversal of 83217680 is 8671238.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 83217680.

It is not an unprimeable number, because it can be changed into a prime (83217689) 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 47 ways as a sum of consecutive naturals, for example, 1172045 + ... + 1172115.

Almost surely, 2^83217680 is an apocalyptic number.

83217680 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 83217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

83217680 is an abundant number, since it is smaller than the sum of its proper divisors (173265904).

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

83217680 is a wasteful number, since it uses less digits than its factorization.

83217680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 83217680 is about 9122.3724984239. The cubic root of 83217680 is about 436.5880738327.

The spelling of 83217680 in words is "eighty-three million, two hundred seventeen thousand, six hundred eighty".