96843600 has 450 divisors, whose sum is σ = 410937054. Its totient is φ = 21772800.

The previous prime is 96843563. The next prime is 96843601. The reversal of 96843600 is 634869.

96843600 is a `hidden beast` number, since 9 + 6 + 8 + 43 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 96589584 = 504^2 + 9828^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96843601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1587570 + ... + 1587630.

Almost surely, 2^96843600 is an apocalyptic number.

96843600 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 96843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205468527).

96843600 is an abundant number, since it is smaller than the sum of its proper divisors (314093454).

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

96843600 is a wasteful number, since it uses less digits than its factorization.

96843600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96843600 is about 9840.9145916424. The cubic root of 96843600 is about 459.2230109429.

The spelling of 96843600 in words is "ninety-six million, eight hundred forty-three thousand, six hundred".