96456360 has 384 divisors, whose sum is σ = 396829440. Its totient is φ = 18247680.

The previous prime is 96456289. The next prime is 96456383. The reversal of 96456360 is 6365469.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1321284 + ... + 1321356.

It is an arithmetic number, because the mean of its divisors is an integer number (1033410).

Almost surely, 2^96456360 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 96456360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198414720).

96456360 is an abundant number, since it is smaller than the sum of its proper divisors (300373080).

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

96456360 is a wasteful number, since it uses less digits than its factorization.

96456360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 96456360 is about 9821.2198834972. The cubic root of 96456360 is about 458.6101083850.

The spelling of 96456360 in words is "ninety-six million, four hundred fifty-six thousand, three hundred sixty".