83656880 has 80 divisors (see below), whose sum is σ = 203692320. Its totient is φ = 31911936.

The previous prime is 83656873. The next prime is 83656883. The reversal of 83656880 is 8865638.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (83656883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248072 + ... + 248408.

It is an arithmetic number, because the mean of its divisors is an integer number (2546154).

Almost surely, 2^83656880 is an apocalyptic number.

83656880 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 83656880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101846160).

83656880 is an abundant number, since it is smaller than the sum of its proper divisors (120035440).

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

83656880 is a wasteful number, since it uses less digits than its factorization.

83656880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 83656880 is about 9146.4135047569. The cubic root of 83656880 is about 437.3547904486.

The spelling of 83656880 in words is "eighty-three million, six hundred fifty-six thousand, eight hundred eighty".