83253600 has 216 divisors, whose sum is σ = 303855552. Its totient is φ = 21427200.

The previous prime is 83253581. The next prime is 83253613. The reversal of 83253600 is 635238.

83253600 is a `hidden beast` number, since 8 + 3 + 2 + 53 + 600 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 223014 + ... + 223386.

Almost surely, 2^83253600 is an apocalyptic number.

83253600 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 83253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151927776).

83253600 is an abundant number, since it is smaller than the sum of its proper divisors (220601952).

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

83253600 is a wasteful number, since it uses less digits than its factorization.

83253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 83253600 is about 9124.3410720994. The cubic root of 83253600 is about 436.6508809501.

Adding to 83253600 its reverse (635238), we get a palindrome (83888838).

The spelling of 83253600 in words is "eighty-three million, two hundred fifty-three thousand, six hundred".