83071520 has 96 divisors (see below), whose sum is σ = 237541248. Its totient is φ = 26800128.

The previous prime is 83071519. The next prime is 83071559. The reversal of 83071520 is 2517038.

It is a super-2 number, since 2×83071520² = 13801754870220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83071520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16859 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (2474388).

Almost surely, 2^83071520 is an apocalyptic number.

83071520 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 83071520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118770624).

83071520 is an abundant number, since it is smaller than the sum of its proper divisors (154469728).

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

83071520 is a wasteful number, since it uses less digits than its factorization.

83071520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 83071520 is about 9114.3579038789. The cubic root of 83071520 is about 436.3323224583.

Adding to 83071520 its reverse (2517038), we get a palindrome (85588558).

The spelling of 83071520 in words is "eighty-three million, seventy-one thousand, five hundred twenty".