83080224 has 144 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 25589760.

The previous prime is 83080213. The next prime is 83080237. The reversal of 83080224 is 42208038.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347497 + ... + 347735.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^83080224 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 83080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

83080224 is an abundant number, since it is smaller than the sum of its proper divisors (171661536).

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

83080224 is a wasteful number, since it uses less digits than its factorization.

83080224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83080224 is about 9114.8353797532. The cubic root of 83080224 is about 436.3475611502.

The spelling of 83080224 in words is "eighty-three million, eighty thousand, two hundred twenty-four".