83683600 has 360 divisors, whose sum is σ = 286301120. Its totient is φ = 22809600.

The previous prime is 83683597. The next prime is 83683609. The reversal of 83683600 is 638638.

It is not an unprimeable number, because it can be changed into a prime (83683609) 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 71 ways as a sum of consecutive naturals, for example, 4404391 + ... + 4404409.

Almost surely, 2^83683600 is an apocalyptic number.

83683600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143150560).

83683600 is an abundant number, since it is smaller than the sum of its proper divisors (202617520).

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

83683600 is a wasteful number, since it uses less digits than its factorization.

83683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 83683600 is about 9147.8740699684. The cubic root of 83683600 is about 437.4013491857.

It can be divided in two parts, 836 and 83600, that multiplied together give a square (69889600 = 8360²).

The spelling of 83683600 in words is "eighty-three million, six hundred eighty-three thousand, six hundred".