1009680000 has 320 divisors, whose sum is σ = 3836521920. Its totient is φ = 230400000.

The previous prime is 1009679987. The next prime is 1009680019. The reversal of 1009680000 is 869001.

1009680000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679700 + ... + 1680300.

It is an arithmetic number, because the mean of its divisors is an integer number (11989131).

Almost surely, 2^1009680000 is an apocalyptic number.

1009680000 is a gapful number since it is divisible by the number (10) 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 1009680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918260960).

1009680000 is an abundant number, since it is smaller than the sum of its proper divisors (2826841920).

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

1009680000 is an frugal number, since it uses more digits than its factorization.

1009680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1009680000 is about 31775.4622310990. The cubic root of 1009680000 is about 1003.2163109202.

The spelling of 1009680000 in words is "one billion, nine million, six hundred eighty thousand".