1009804608 has 84 divisors (see below), whose sum is σ = 2905330740. Its totient is φ = 335333376.

The previous prime is 1009804577. The next prime is 1009804639. The reversal of 1009804608 is 8064089001.

It is a happy number.

1009804608 is a `hidden beast` number, since 100 + 98 + 0 + 460 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1009804577) and next prime (1009804639).

It can be written as a sum of positive squares in 2 ways, for example, as 464488704 + 545315904 = 21552^2 + 23352^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156388 + ... + 162716.

Almost surely, 2^1009804608 is an apocalyptic number.

1009804608 is a gapful number since it is divisible by the number (18) 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 1009804608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452665370).

1009804608 is an abundant number, since it is smaller than the sum of its proper divisors (1895526132).

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

1009804608 is a wasteful number, since it uses less digits than its factorization.

1009804608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1009804608 is about 31777.4229288657. The cubic root of 1009804608 is about 1003.2575793207.

The spelling of 1009804608 in words is "one billion, nine million, eight hundred four thousand, six hundred eight".