83411688 has 32 divisors (see below), whose sum is σ = 208848960. Its totient is φ = 27761280.

The previous prime is 83411687. The next prime is 83411693. The reversal of 83411688 is 88611438.

It is a Cunningham number, because it is equal to 9133²-1.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (83411687) 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 7 ways as a sum of consecutive naturals, for example, 15981 + ... + 20547.

It is an arithmetic number, because the mean of its divisors is an integer number (6526530).

Almost surely, 2^83411688 is an apocalyptic number.

It is an amenable number.

83411688 is an abundant number, since it is smaller than the sum of its proper divisors (125437272).

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

83411688 is a wasteful number, since it uses less digits than its factorization.

83411688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5333 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 83411688 is about 9132.9999452535. Note that the first 4 decimals coincide. The cubic root of 83411688 is about 436.9270876963.

The spelling of 83411688 in words is "eighty-three million, four hundred eleven thousand, six hundred eighty-eight".