96033600 has 504 divisors, whose sum is σ = 401259040. Its totient is φ = 22394880.

The previous prime is 96033599. The next prime is 96033601. The reversal of 96033600 is 633069.

It is an interprime number because it is at equal distance from previous prime (96033599) and next prime (96033601).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96033601) 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, 5054391 + ... + 5054409.

Almost surely, 2^96033600 is an apocalyptic number.

96033600 is a gapful number since it is divisible by the number (90) 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 96033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200629520).

96033600 is an abundant number, since it is smaller than the sum of its proper divisors (305225440).

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

96033600 is a wasteful number, since it uses less digits than its factorization.

96033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 96033600 is about 9799.6734639477. The cubic root of 96033600 is about 457.9391107882.

Adding to 96033600 its reverse (633069), we get a palindrome (96666669).

It can be divided in two parts, 9603 and 3600, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 96033600 in words is "ninety-six million, thirty-three thousand, six hundred".