83208400 has 60 divisors (see below), whose sum is σ = 218093184. Its totient is φ = 30256000.

The previous prime is 83208373. The next prime is 83208401. The reversal of 83208400 is 480238.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83208401) 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, 5056 + ... + 13855.

Almost surely, 2^83208400 is an apocalyptic number.

83208400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83208400 is an abundant number, since it is smaller than the sum of its proper divisors (134884784).

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

83208400 is a wasteful number, since it uses less digits than its factorization.

83208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18940 (or 18929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 83208400 is about 9121.8638446318. The cubic root of 83208400 is about 436.5718445573.

Adding to 83208400 its reverse (480238), we get a palindrome (83688638).

The spelling of 83208400 in words is "eighty-three million, two hundred eight thousand, four hundred".