96345360 has 60 divisors (see below), whose sum is σ = 323562252. Its totient is φ = 25691904.

The previous prime is 96345331. The next prime is 96345419. The reversal of 96345360 is 6354369.

96345360 is a `hidden beast` number, since 96 + 34 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15776784 + 80568576 = 3972^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 66187 + ... + 67626.

Almost surely, 2^96345360 is an apocalyptic number.

96345360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96345360 is an abundant number, since it is smaller than the sum of its proper divisors (227216892).

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

96345360 is a wasteful number, since it uses less digits than its factorization.

96345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133832 (or 133823 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 96345360 is about 9815.5672276237. The cubic root of 96345360 is about 458.4341211592.

The spelling of 96345360 in words is "ninety-six million, three hundred forty-five thousand, three hundred sixty".