83525120 has 160 divisors (see below), whose sum is σ = 235699200. Its totient is φ = 27795456.

The previous prime is 83525119. The next prime is 83525171. The reversal of 83525120 is 2152538.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 83525120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057241 + ... + 1057319.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^83525120 is an apocalyptic number.

83525120 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 83525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117849600).

83525120 is an abundant number, since it is smaller than the sum of its proper divisors (152174080).

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

83525120 is an equidigital number, since it uses as much as digits as its factorization.

83525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 83525120 is about 9139.2078431339. The cubic root of 83525120 is about 437.1250578099.

Adding to 83525120 its reverse (2152538), we get a palindrome (85677658).

The spelling of 83525120 in words is "eighty-three million, five hundred twenty-five thousand, one hundred twenty".