96949200 has 120 divisors (see below), whose sum is σ = 313024608. Its totient is φ = 25648640.

The previous prime is 96949187. The next prime is 96949207. The reversal of 96949200 is 294969.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96949207) 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, 207367 + ... + 207833.

Almost surely, 2^96949200 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 96949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156512304).

96949200 is an abundant number, since it is smaller than the sum of its proper divisors (216075408).

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

96949200 is a wasteful number, since it uses less digits than its factorization.

96949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 96949200 is about 9846.2784847880. The cubic root of 96949200 is about 459.3898653156.

The spelling of 96949200 in words is "ninety-six million, nine hundred forty-nine thousand, two hundred".