9237846240 has 1152 divisors, whose sum is σ = 41302130688. Its totient is φ = 1831403520.

The previous prime is 9237846229. The next prime is 9237846253. The reversal of 9237846240 is 426487329.

It is a super-4 number, since 4×9237846240⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196549897 + ... + 196549943.

It is an arithmetic number, because the mean of its divisors is an integer number (35852544).

Almost surely, 2^9237846240 is an apocalyptic number.

9237846240 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 9237846240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651065344).

9237846240 is an abundant number, since it is smaller than the sum of its proper divisors (32064284448).

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

9237846240 is a wasteful number, since it uses less digits than its factorization.

9237846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9237846240 is about 96113.7151503364. The cubic root of 9237846240 is about 2098.2484442407.

The spelling of 9237846240 in words is "nine billion, two hundred thirty-seven million, eight hundred forty-six thousand, two hundred forty".