83664080 has 20 divisors (see below), whose sum is σ = 194519172. Its totient is φ = 33465600.

The previous prime is 83664047. The next prime is 83664103. The reversal of 83664080 is 8046638.

It can be written as a sum of positive squares in 2 ways, for example, as 19855936 + 63808144 = 4456^2 + 7988^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 83664080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 522821 + ... + 522980.

Almost surely, 2^83664080 is an apocalyptic number.

83664080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83664080 is an abundant number, since it is smaller than the sum of its proper divisors (110855092).

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

83664080 is a wasteful number, since it uses less digits than its factorization.

83664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045814 (or 1045808 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 83664080 is about 9146.8070931883. The cubic root of 83664080 is about 437.3673371918.

The spelling of 83664080 in words is "eighty-three million, six hundred sixty-four thousand, eighty".