9168240960 has 280 divisors, whose sum is σ = 33740399880. Its totient is φ = 2360365056.

The previous prime is 9168240959. The next prime is 9168240967. The reversal of 9168240960 is 690428619.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1678377024 + 7489863936 = 40968^2 + 86544^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9168240967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 745582 + ... + 757778.

Almost surely, 2^9168240960 is an apocalyptic number.

9168240960 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 9168240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870199940).

9168240960 is an abundant number, since it is smaller than the sum of its proper divisors (24572158920).

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

9168240960 is a wasteful number, since it uses less digits than its factorization.

9168240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9168240960 is about 95750.9319014703. The cubic root of 9168240960 is about 2092.9651950654.

The spelling of 9168240960 in words is "nine billion, one hundred sixty-eight million, two hundred forty thousand, nine hundred sixty".