83411160 has 128 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 18869760.

The previous prime is 83411147. The next prime is 83411161. The reversal of 83411160 is 6111438.

It is a super-2 number, since 2×83411160² = 13914843225091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 83411160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83411161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91105 + ... + 92015.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 2^83411160 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 83411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

83411160 is an abundant number, since it is smaller than the sum of its proper divisors (205510440).

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

83411160 is a wasteful number, since it uses less digits than its factorization.

83411160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 83411160 is about 9132.9710390431. The cubic root of 83411160 is about 436.9261657712.

Adding to 83411160 its reverse (6111438), we get a palindrome (89522598).

The spelling of 83411160 in words is "eighty-three million, four hundred eleven thousand, one hundred sixty".