83034120 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 18432000.

The previous prime is 83034073. The next prime is 83034131. The reversal of 83034120 is 2143038.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822070 + ... + 822170.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^83034120 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 83034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

83034120 is an abundant number, since it is smaller than the sum of its proper divisors (213075960).

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

83034120 is a wasteful number, since it uses less digits than its factorization.

83034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83034120 is about 9112.3059650124. The cubic root of 83034120 is about 436.2668315879.

Adding to 83034120 its reverse (2143038), we get a palindrome (85177158).

The spelling of 83034120 in words is "eighty-three million, thirty-four thousand, one hundred twenty".