83220456 has 128 divisors (see below), whose sum is σ = 244684800. Its totient is φ = 23316480.

The previous prime is 83220451. The next prime is 83220493. The reversal of 83220456 is 65402238.

It is not an unprimeable number, because it can be changed into a prime (83220451) 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 31 ways as a sum of consecutive naturals, for example, 235576 + ... + 235928.

It is an arithmetic number, because the mean of its divisors is an integer number (1911600).

Almost surely, 2^83220456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83220456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122342400).

83220456 is an abundant number, since it is smaller than the sum of its proper divisors (161464344).

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

83220456 is a wasteful number, since it uses less digits than its factorization.

83220456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 83220456 is about 9122.5246505559. The cubic root of 83220456 is about 436.5929283901.

The spelling of 83220456 in words is "eighty-three million, two hundred twenty thousand, four hundred fifty-six".