96010560 has 336 divisors, whose sum is σ = 365888016. Its totient is φ = 23003136.

The previous prime is 96010513. The next prime is 96010571. The reversal of 96010560 is 6501069.

96010560 is a `hidden beast` number, since 9 + 601 + 0 + 56 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15872256 + 80138304 = 3984^2 + 8952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811494 + ... + 1811546.

Almost surely, 2^96010560 is an apocalyptic number.

96010560 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 96010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182944008).

96010560 is an abundant number, since it is smaller than the sum of its proper divisors (269877456).

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

96010560 is a wasteful number, since it uses less digits than its factorization.

96010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 96010560 is about 9798.4978440575. The cubic root of 96010560 is about 457.9024855480.

The spelling of 96010560 in words is "ninety-six million, ten thousand, five hundred sixty".