83353680 has 60 divisors (see below), whose sum is σ = 279931860. Its totient is φ = 22227456.

The previous prime is 83353643. The next prime is 83353681. The reversal of 83353680 is 8635338.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 19289664 = 8004^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83353681) 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 11 ways as a sum of consecutive naturals, for example, 57165 + ... + 58604.

It is an arithmetic number, because the mean of its divisors is an integer number (4665531).

Almost surely, 2^83353680 is an apocalyptic number.

83353680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83353680 is an abundant number, since it is smaller than the sum of its proper divisors (196578180).

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

83353680 is a wasteful number, since it uses less digits than its factorization.

83353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115788 (or 115779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83353680 is about 9129.8236565664. The cubic root of 83353680 is about 436.8257783764.

The spelling of 83353680 in words is "eighty-three million, three hundred fifty-three thousand, six hundred eighty".