9008087040 has 384 divisors, whose sum is σ = 32203899000. Its totient is φ = 2327838720.

The previous prime is 9008086993. The next prime is 9008087063. The reversal of 9008087040 is 407808009.

It can be written as a sum of positive squares in 4 ways, for example, as 2931572736 + 6076514304 = 54144^2 + 77952^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×9008087040² (a number of 21 digits) contains 22 as substring.

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 = 9008086986 and 9008087004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60456886 + ... + 60457034.

Almost surely, 2^9008087040 is an apocalyptic number.

9008087040 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 9008087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101949500).

9008087040 is an abundant number, since it is smaller than the sum of its proper divisors (23195811960).

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

9008087040 is a wasteful number, since it uses less digits than its factorization.

9008087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9008087040 is about 94910.9426778599. The cubic root of 9008087040 is about 2080.7066632427.

The spelling of 9008087040 in words is "nine billion, eight million, eighty-seven thousand, forty".