9067240800 has 432 divisors, whose sum is σ = 34122816000. Its totient is φ = 2258979840.

The previous prime is 9067240789. The next prime is 9067240811. The reversal of 9067240800 is 80427609.

It is an interprime number because it is at equal distance from previous prime (9067240789) and next prime (9067240811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10806781 + ... + 10807619.

It is an arithmetic number, because the mean of its divisors is an integer number (78988000).

Almost surely, 2^9067240800 is an apocalyptic number.

9067240800 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 9067240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408000).

9067240800 is an abundant number, since it is smaller than the sum of its proper divisors (25055575200).

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

9067240800 is a wasteful number, since it uses less digits than its factorization.

9067240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9067240800 is about 95222.0604692001. The cubic root of 9067240800 is about 2085.2512162152.

The spelling of 9067240800 in words is "nine billion, sixty-seven million, two hundred forty thousand, eight hundred".