83481120 has 72 divisors (see below), whose sum is σ = 284884236. Its totient is φ = 22261248.

The previous prime is 83481091. The next prime is 83481127. The reversal of 83481120 is 2118438.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 6533136 = 8772^2 + 2556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (83481127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27547 + ... + 30426.

Almost surely, 2^83481120 is an apocalyptic number.

83481120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83481120 is an abundant number, since it is smaller than the sum of its proper divisors (201403116).

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

83481120 is a wasteful number, since it uses less digits than its factorization.

83481120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57994 (or 57983 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83481120 is about 9136.8003152088. The cubic root of 83481120 is about 437.0482869700.

Adding to 83481120 its reverse (2118438), we get a palindrome (85599558).

The spelling of 83481120 in words is "eighty-three million, four hundred eighty-one thousand, one hundred twenty".