96382800 has 180 divisors, whose sum is σ = 343157724. Its totient is φ = 25036800.

The previous prime is 96382799. The next prime is 96382807. The reversal of 96382800 is 828369.

It can be written as a sum of positive squares in 6 ways, for example, as 27625536 + 68757264 = 5256^2 + 8292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (96382807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147274 + ... + 147926.

Almost surely, 2^96382800 is an apocalyptic number.

96382800 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 96382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171578862).

96382800 is an abundant number, since it is smaller than the sum of its proper divisors (246774924).

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

96382800 is a wasteful number, since it uses less digits than its factorization.

96382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96382800 is about 9817.4742169257. The cubic root of 96382800 is about 458.4934962749.

The spelling of 96382800 in words is "ninety-six million, three hundred eighty-two thousand, eight hundred".