9024238080 has 960 divisors, whose sum is σ = 38401292160. Its totient is φ = 1995079680.

The previous prime is 9024238073. The next prime is 9024238109. The reversal of 9024238080 is 808324209.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108725719 + ... + 108725801.

It is an arithmetic number, because the mean of its divisors is an integer number (40001346).

Almost surely, 2^9024238080 is an apocalyptic number.

9024238080 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 9024238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200646080).

9024238080 is an abundant number, since it is smaller than the sum of its proper divisors (29377054080).

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

9024238080 is a wasteful number, since it uses less digits than its factorization.

9024238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9024238080 is about 94995.9898100967. The cubic root of 9024238080 is about 2081.9494543784.

The spelling of 9024238080 in words is "nine billion, twenty-four million, two hundred thirty-eight thousand, eighty".