96703200 has 432 divisors, whose sum is σ = 394818480. Its totient is φ = 22809600.

The previous prime is 96703181. The next prime is 96703213. The reversal of 96703200 is 230769.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613582 + ... + 2613618.

Almost surely, 2^96703200 is an apocalyptic number.

96703200 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 96703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197409240).

96703200 is an abundant number, since it is smaller than the sum of its proper divisors (298115280).

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

96703200 is a wasteful number, since it uses less digits than its factorization.

96703200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 96703200 is about 9833.7785209959. The cubic root of 96703200 is about 459.0009825260. Note that the first 3 decimals are identical.

Adding to 96703200 its reverse (230769), we get a palindrome (96933969).

The spelling of 96703200 in words is "ninety-six million, seven hundred three thousand, two hundred".