9610113240 has 768 divisors, whose sum is σ = 40966128000. Its totient is φ = 1985679360.

The previous prime is 9610113221. The next prime is 9610113257. The reversal of 9610113240 is 423110169.

9610113240 is a `hidden beast` number, since 9 + 610 + 1 + 1 + 3 + 2 + 40 = 666.

9610113240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 41965446 + ... + 41965674.

Almost surely, 2^9610113240 is an apocalyptic number.

9610113240 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 9610113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483064000).

9610113240 is an abundant number, since it is smaller than the sum of its proper divisors (31356014760).

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

9610113240 is a wasteful number, since it uses less digits than its factorization.

9610113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9610113240 is about 98031.1850382316. The cubic root of 9610113240 is about 2126.0631904159.

The spelling of 9610113240 in words is "nine billion, six hundred ten million, one hundred thirteen thousand, two hundred forty".