1009078560 has 480 divisors, whose sum is σ = 4171305600. Its totient is φ = 229630464.

The previous prime is 1009078523. The next prime is 1009078573. The reversal of 1009078560 is 658709001.

1009078560 is a `hidden beast` number, since 1 + 0 + 0 + 90 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 4445167 + ... + 4445393.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2^1009078560 is an apocalyptic number.

1009078560 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 1009078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085652800).

1009078560 is an abundant number, since it is smaller than the sum of its proper divisors (3162227040).

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

1009078560 is an equidigital number, since it uses as much as digits as its factorization.

1009078560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1009078560 is about 31765.9969149404. The cubic root of 1009078560 is about 1003.0170747719.

The spelling of 1009078560 in words is "one billion, nine million, seventy-eight thousand, five hundred sixty".