83541120 has 128 divisors (see below), whose sum is σ = 286856640. Its totient is φ = 20557824.

The previous prime is 83541089. The next prime is 83541121. The reversal of 83541120 is 2114538.

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

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

It is not an unprimeable number, because it can be changed into a prime (83541121) by changing a digit.

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, 23287 + ... + 26633.

Almost surely, 2^83541120 is an apocalyptic number.

83541120 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 83541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143428320).

83541120 is an abundant number, since it is smaller than the sum of its proper divisors (203315520).

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

83541120 is a wasteful number, since it uses less digits than its factorization.

83541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 83541120 is about 9140.0831506065. The cubic root of 83541120 is about 437.1529677943.

Adding to 83541120 its reverse (2114538), we get a palindrome (85655658).

The spelling of 83541120 in words is "eighty-three million, five hundred forty-one thousand, one hundred twenty".