83328640 has 32 divisors (see below), whose sum is σ = 199209060. Its totient is φ = 33331200.

The previous prime is 83328613. The next prime is 83328643. The reversal of 83328640 is 4682338.

It can be written as a sum of positive squares in 2 ways, for example, as 80425024 + 2903616 = 8968^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 83328596 and 83328605.

It is not an unprimeable number, because it can be changed into a prime (83328643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64461 + ... + 65740.

Almost surely, 2^83328640 is an apocalyptic number.

83328640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83328640 is an abundant number, since it is smaller than the sum of its proper divisors (115880420).

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

83328640 is a wasteful number, since it uses less digits than its factorization.

83328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130220 (or 130208 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 83328640 is about 9128.4522236795. The cubic root of 83328640 is about 436.7820322056.

The spelling of 83328640 in words is "eighty-three million, three hundred twenty-eight thousand, six hundred forty".