9120954240 has 512 divisors, whose sum is σ = 34832592000. Its totient is φ = 2247229440.

The previous prime is 9120954233. The next prime is 9120954251. The reversal of 9120954240 is 424590219.

9120954240 is a `hidden beast` number, since 91 + 20 + 9 + 542 + 4 + 0 = 666.

9120954240 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 9120954195 and 9120954204.

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 63 ways as a sum of consecutive naturals, for example, 17919106 + ... + 17919614.

Almost surely, 2^9120954240 is an apocalyptic number.

9120954240 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 9120954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416296000).

9120954240 is an abundant number, since it is smaller than the sum of its proper divisors (25711637760).

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

9120954240 is a wasteful number, since it uses less digits than its factorization.

9120954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9120954240 is about 95503.6870492443. The cubic root of 9120954240 is about 2089.3607195990.

The spelling of 9120954240 in words is "nine billion, one hundred twenty million, nine hundred fifty-four thousand, two hundred forty".