96940800 has 540 divisors, whose sum is σ = 414020376. Its totient is φ = 22118400.

The previous prime is 96940799. The next prime is 96940807. The reversal of 96940800 is 804969.

96940800 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96940807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5702392 + ... + 5702408.

Almost surely, 2^96940800 is an apocalyptic number.

96940800 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 96940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207010188).

96940800 is an abundant number, since it is smaller than the sum of its proper divisors (317079576).

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

96940800 is a wasteful number, since it uses less digits than its factorization.

96940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 96940800 is about 9845.8519184477. The cubic root of 96940800 is about 459.3765972456.

The spelling of 96940800 in words is "ninety-six million, nine hundred forty thousand, eight hundred".