83660560 has 40 divisors (see below), whose sum is σ = 196534296. Its totient is φ = 33116160.

The previous prime is 83660539. The next prime is 83660561. The reversal of 83660560 is 6506638.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 80784144 = 1696^2 + 8988^2 .

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 (83660561) 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, 2370 + ... + 13150.

Almost surely, 2^83660560 is an apocalyptic number.

83660560 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 83660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98267148).

83660560 is an abundant number, since it is smaller than the sum of its proper divisors (112873736).

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

83660560 is a wasteful number, since it uses less digits than its factorization.

83660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 83660560 is about 9146.6146742934. The cubic root of 83660560 is about 437.3612033184.

The spelling of 83660560 in words is "eighty-three million, six hundred sixty thousand, five hundred sixty".