9249087120 has 480 divisors, whose sum is σ = 36335174400. Its totient is φ = 1928908800.

The previous prime is 9249087109. The next prime is 9249087137. The reversal of 9249087120 is 217809429.

It is a super-2 number, since 2×9249087120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15440581 + ... + 15441179.

It is an arithmetic number, because the mean of its divisors is an integer number (75698280).

Almost surely, 2^9249087120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9249087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18167587200).

9249087120 is an abundant number, since it is smaller than the sum of its proper divisors (27086087280).

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

9249087120 is a wasteful number, since it uses less digits than its factorization.

9249087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 9249087120 is about 96172.1743541239. The cubic root of 9249087120 is about 2099.0991691841.

The spelling of 9249087120 in words is "nine billion, two hundred forty-nine million, eighty-seven thousand, one hundred twenty".