83284800 has 84 divisors (see below), whose sum is σ = 273259296. Its totient is φ = 22208000.

The previous prime is 83284793. The next prime is 83284801. The reversal of 83284800 is 848238.

It is a super-2 number, since 2×83284800² = 13872715822080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83284801) 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, 3876 + ... + 13475.

Almost surely, 2^83284800 is an apocalyptic number.

83284800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83284800 is an abundant number, since it is smaller than the sum of its proper divisors (189974496).

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

83284800 is a wasteful number, since it uses less digits than its factorization.

83284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17376 (or 17361 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83284800 is about 9126.0506244487. The cubic root of 83284800 is about 436.7054203574.

The spelling of 83284800 in words is "eighty-three million, two hundred eighty-four thousand, eight hundred".