96133800 has 192 divisors, whose sum is σ = 348549120. Its totient is φ = 21461760.

The previous prime is 96133799. The next prime is 96133801. The reversal of 96133800 is 833169.

It is an interprime number because it is at equal distance from previous prime (96133799) and next prime (96133801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (96133801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197157 + ... + 197643.

It is an arithmetic number, because the mean of its divisors is an integer number (1815360).

Almost surely, 2^96133800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174274560).

96133800 is an abundant number, since it is smaller than the sum of its proper divisors (252415320).

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

96133800 is a wasteful number, since it uses less digits than its factorization.

96133800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 96133800 is about 9804.7845463325. The cubic root of 96133800 is about 458.0983243322.

Adding to 96133800 its reverse (833169), we get a palindrome (96966969).

The spelling of 96133800 in words is "ninety-six million, one hundred thirty-three thousand, eight hundred".