96851200 has 108 divisors (see below), whose sum is σ = 246802780. Its totient is φ = 37601280.

The previous prime is 96851173. The next prime is 96851203. The reversal of 96851200 is 215869.

It can be written as a sum of positive squares in 6 ways, for example, as 10137856 + 86713344 = 3184^2 + 9312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96851203) 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 11 ways as a sum of consecutive naturals, for example, 236596 + ... + 237004.

Almost surely, 2^96851200 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 96851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123401390).

96851200 is an abundant number, since it is smaller than the sum of its proper divisors (149951580).

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

96851200 is a wasteful number, since it uses less digits than its factorization.

96851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 96851200 is about 9841.3007270381. The cubic root of 96851200 is about 459.2350234510.

It can be divided in two parts, 968 and 51200, that multiplied together give a square (49561600 = 7040²).

The spelling of 96851200 in words is "ninety-six million, eight hundred fifty-one thousand, two hundred".