83013600 has 72 divisors (see below), whose sum is σ = 270217080. Its totient is φ = 22136320.

The previous prime is 83013589. The next prime is 83013683. The reversal of 83013600 is 631038.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14895 + ... + 19694.

It is an arithmetic number, because the mean of its divisors is an integer number (3753015).

Almost surely, 2^83013600 is an apocalyptic number.

83013600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83013600 is an abundant number, since it is smaller than the sum of its proper divisors (187203480).

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

83013600 is a wasteful number, since it uses less digits than its factorization.

83013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34612 (or 34599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 83013600 is about 9111.1799455394. The cubic root of 83013600 is about 436.2308908086.

Adding to 83013600 its reverse (631038), we get a palindrome (83644638).

The spelling of 83013600 in words is "eighty-three million, thirteen thousand, six hundred".