96951800 has 96 divisors (see below), whose sum is σ = 248555520. Its totient is φ = 34876800.

The previous prime is 96951797. The next prime is 96951817. The reversal of 96951800 is 815969.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279227 + ... + 279573.

It is an arithmetic number, because the mean of its divisors is an integer number (2589120).

Almost surely, 2^96951800 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 96951800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124277760).

96951800 is an abundant number, since it is smaller than the sum of its proper divisors (151603720).

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

96951800 is a wasteful number, since it uses less digits than its factorization.

96951800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 96951800 is about 9846.4105134815. The cubic root of 96951800 is about 459.3939719439.

The spelling of 96951800 in words is "ninety-six million, nine hundred fifty-one thousand, eight hundred".