96382080 has 192 divisors, whose sum is σ = 344892600. Its totient is φ = 24772608.

The previous prime is 96382067. The next prime is 96382093. The reversal of 96382080 is 8028369.

It is an interprime number because it is at equal distance from previous prime (96382067) and next prime (96382093).

It can be written as a sum of positive squares in 4 ways, for example, as 95413824 + 968256 = 9768^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166752 + ... + 167328.

Almost surely, 2^96382080 is an apocalyptic number.

96382080 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 96382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172446300).

96382080 is an abundant number, since it is smaller than the sum of its proper divisors (248510520).

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

96382080 is a wasteful number, since it uses less digits than its factorization.

96382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

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

The square root of 96382080 is about 9817.4375475477. The cubic root of 96382080 is about 458.4923545908.

The spelling of 96382080 in words is "ninety-six million, three hundred eighty-two thousand, eighty".