1008785120 has 48 divisors (see below), whose sum is σ = 2723722848. Its totient is φ = 345868800.

The previous prime is 1008785119. The next prime is 1008785137. The reversal of 1008785120 is 215878001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 449231 + ... + 451470.

It is an arithmetic number, because the mean of its divisors is an integer number (56744226).

Almost surely, 2^1008785120 is an apocalyptic number.

1008785120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1008785120 is an abundant number, since it is smaller than the sum of its proper divisors (1714937728).

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

1008785120 is an equidigital number, since it uses as much as digits as its factorization.

1008785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900723 (or 900715 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 1008785120 is about 31761.3778038674. The cubic root of 1008785120 is about 1002.9198395725.

The spelling of 1008785120 in words is "one billion, eight million, seven hundred eighty-five thousand, one hundred twenty".