1008960960 has 336 divisors, whose sum is σ = 3783970080. Its totient is φ = 227082240.

The previous prime is 1008960949. The next prime is 1008960977. The reversal of 1008960960 is 690698001.

It is a tau number, because it is divible by the number of its divisors (336).

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, 4186440 + ... + 4186680.

Almost surely, 2^1008960960 is an apocalyptic number.

1008960960 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 1008960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891985040).

1008960960 is an abundant number, since it is smaller than the sum of its proper divisors (2775009120).

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

1008960960 is a wasteful number, since it uses less digits than its factorization.

1008960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1008960960 is about 31764.1458251281. The cubic root of 1008960960 is about 1002.9781087306.

The spelling of 1008960960 in words is "one billion, eight million, nine hundred sixty thousand, nine hundred sixty".