83313600 has 168 divisors, whose sum is σ = 289700208. Its totient is φ = 20889600.

The previous prime is 83313589. The next prime is 83313611. The reversal of 83313600 is 631338.

It is an interprime number because it is at equal distance from previous prime (83313589) and next prime (83313611).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81090 + ... + 82110.

It is an arithmetic number, because the mean of its divisors is an integer number (1724406).

Almost surely, 2^83313600 is an apocalyptic number.

83313600 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 83313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144850104).

83313600 is an abundant number, since it is smaller than the sum of its proper divisors (206386608).

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

83313600 is a wasteful number, since it uses less digits than its factorization.

83313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 83313600 is about 9127.6283885794. The cubic root of 83313600 is about 436.7557523374.

Adding to 83313600 its reverse (631338), we get a palindrome (83944938).

The spelling of 83313600 in words is "eighty-three million, three hundred thirteen thousand, six hundred".