9008835840 has 432 divisors, whose sum is σ = 33326708688. Its totient is φ = 2238971904.

The previous prime is 9008835839. The next prime is 9008835889. The reversal of 9008835840 is 485388009.

It can be written as a sum of positive squares in 8 ways, for example, as 533055744 + 8475780096 = 23088^2 + 92064^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30746734 + ... + 30747026.

It is an arithmetic number, because the mean of its divisors is an integer number (77145159).

Almost surely, 2^9008835840 is an apocalyptic number.

9008835840 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 9008835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663354344).

9008835840 is an abundant number, since it is smaller than the sum of its proper divisors (24317872848).

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

9008835840 is a wasteful number, since it uses less digits than its factorization.

9008835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9008835840 is about 94914.8873465064. The cubic root of 9008835840 is about 2080.7643147720.

The spelling of 9008835840 in words is "nine billion, eight million, eight hundred thirty-five thousand, eight hundred forty".