83003520 has 128 divisors (see below), whose sum is σ = 280247040. Its totient is φ = 20824064.

The previous prime is 83003519. The next prime is 83003521. The reversal of 83003520 is 2530038.

It is an interprime number because it is at equal distance from previous prime (83003519) and next prime (83003521).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (83003521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31369 + ... + 33911.

It is an arithmetic number, because the mean of its divisors is an integer number (2189430).

Almost surely, 2^83003520 is an apocalyptic number.

83003520 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 83003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140123520).

83003520 is an abundant number, since it is smaller than the sum of its proper divisors (197243520).

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

83003520 is a wasteful number, since it uses less digits than its factorization.

83003520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 83003520 is about 9110.6267621937. The cubic root of 83003520 is about 436.2132335197.

Adding to 83003520 its reverse (2530038), we get a palindrome (85533558).

The spelling of 83003520 in words is "eighty-three million, three thousand, five hundred twenty".