83229120 has 420 divisors, whose sum is σ = 337459320. Its totient is φ = 19408896.

The previous prime is 83229103. The next prime is 83229131. The reversal of 83229120 is 2192238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380471 + ... + 4380489.

Almost surely, 2^83229120 is an apocalyptic number.

83229120 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 83229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168729660).

83229120 is an abundant number, since it is smaller than the sum of its proper divisors (254230200).

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

83229120 is a wasteful number, since it uses less digits than its factorization.

83229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 83229120 is about 9122.9995067412. Note that the first 3 decimals coincide. The cubic root of 83229120 is about 436.6080789514.

The spelling of 83229120 in words is "eighty-three million, two hundred twenty-nine thousand, one hundred twenty".