83220984 has 192 divisors, whose sum is σ = 297872640. Its totient is φ = 20321280.

The previous prime is 83220983. The next prime is 83221003. The reversal of 83220984 is 48902238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83220983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93807 + ... + 94689.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^83220984 is an apocalyptic number.

83220984 is a gapful number since it is divisible by the number (84) 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 83220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).

83220984 is an abundant number, since it is smaller than the sum of its proper divisors (214651656).

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

83220984 is a wasteful number, since it uses less digits than its factorization.

83220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83220984 is about 9122.5535898673. The cubic root of 83220984 is about 436.5938517231.

The spelling of 83220984 in words is "eighty-three million, two hundred twenty thousand, nine hundred eighty-four".