96126800 has 120 divisors (see below), whose sum is σ = 288023232. Its totient is φ = 29952000.

The previous prime is 96126799. The next prime is 96126803. The reversal of 96126800 is 862169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96126803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29240 + ... + 32360.

Almost surely, 2^96126800 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 96126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144011616).

96126800 is an abundant number, since it is smaller than the sum of its proper divisors (191896432).

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

96126800 is a wasteful number, since it uses less digits than its factorization.

96126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 96126800 is about 9804.4275712558. The cubic root of 96126800 is about 458.0872052249.

Adding to 96126800 its reverse (862169), we get a palindrome (96988969).

The spelling of 96126800 in words is "ninety-six million, one hundred twenty-six thousand, eight hundred".