83081520 has 240 divisors, whose sum is σ = 302927040. Its totient is φ = 20342784.

The previous prime is 83081513. The next prime is 83081569. The reversal of 83081520 is 2518038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480154 + ... + 480326.

It is an arithmetic number, because the mean of its divisors is an integer number (1262196).

Almost surely, 2^83081520 is an apocalyptic number.

83081520 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 83081520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151463520).

83081520 is an abundant number, since it is smaller than the sum of its proper divisors (219845520).

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

83081520 is a wasteful number, since it uses less digits than its factorization.

83081520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 83081520 is about 9114.9064723671. The cubic root of 83081520 is about 436.3498300556.

Adding to 83081520 its reverse (2518038), we get a palindrome (85599558).

The spelling of 83081520 in words is "eighty-three million, eighty-one thousand, five hundred twenty".