83089680 has 40 divisors (see below), whose sum is σ = 257578752. Its totient is φ = 22157184.

The previous prime is 83089663. The next prime is 83089687. The reversal of 83089680 is 8698038.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (83089687) 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, 172864 + ... + 173343.

Almost surely, 2^83089680 is an apocalyptic number.

83089680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83089680 is an abundant number, since it is smaller than the sum of its proper divisors (174489072).

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

83089680 is a wasteful number, since it uses less digits than its factorization.

83089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346223 (or 346217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 83089680 is about 9115.3540797931. The cubic root of 83089680 is about 436.3641152141.

The spelling of 83089680 in words is "eighty-three million, eighty-nine thousand, six hundred eighty".