9830914560 has 240 divisors, whose sum is σ = 34842528864. Its totient is φ = 2560352256.

The previous prime is 9830914559. The next prime is 9830914579. The reversal of 9830914560 is 654190389.

It is a happy number.

9830914560 is a `hidden beast` number, since 9 + 83 + 0 + 9 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985759 + ... + 995681.

Almost surely, 2^9830914560 is an apocalyptic number.

9830914560 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 9830914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17421264432).

9830914560 is an abundant number, since it is smaller than the sum of its proper divisors (25011614304).

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

9830914560 is a wasteful number, since it uses less digits than its factorization.

9830914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9830914560 is about 99150.9685277960. The cubic root of 9830914560 is about 2142.2228162839. Note that the first 3 decimals are identical.

The spelling of 9830914560 in words is "nine billion, eight hundred thirty million, nine hundred fourteen thousand, five hundred sixty".