83338680 has 128 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 21425664.

The previous prime is 83338669. The next prime is 83338753. The reversal of 83338680 is 8683338.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559246 + ... + 559394.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^83338680 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 83338680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

83338680 is an abundant number, since it is smaller than the sum of its proper divisors (175861320).

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

83338680 is a wasteful number, since it uses less digits than its factorization.

83338680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83338680 is about 9129.0021360497. The cubic root of 83338680 is about 436.7995736555.

Subtracting from 83338680 its sum of digits (39), we obtain a square (83338641 = 9129²).

The spelling of 83338680 in words is "eighty-three million, three hundred thirty-eight thousand, six hundred eighty".