83226480 has 80 divisors (see below), whose sum is σ = 258879264. Its totient is φ = 22118400.

The previous prime is 83226469. The next prime is 83226523. The reversal of 83226480 is 8462238.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138180 + ... + 138780.

Almost surely, 2^83226480 is an apocalyptic number.

83226480 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 83226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129439632).

83226480 is an abundant number, since it is smaller than the sum of its proper divisors (175652784).

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

83226480 is a wasteful number, since it uses less digits than its factorization.

83226480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 83226480 is about 9122.8548163390. The cubic root of 83226480 is about 436.6034625483.

The spelling of 83226480 in words is "eighty-three million, two hundred twenty-six thousand, four hundred eighty".