1008242560 has 128 divisors (see below), whose sum is σ = 2614096800. Its totient is φ = 369647616.

The previous prime is 1008242549. The next prime is 1008242567. The reversal of 1008242560 is 652428001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008242567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1488942 + ... + 1489618.

Almost surely, 2^1008242560 is an apocalyptic number.

1008242560 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 1008242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307048400).

1008242560 is an abundant number, since it is smaller than the sum of its proper divisors (1605854240).

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

1008242560 is a wasteful number, since it uses less digits than its factorization.

1008242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1008242560 is about 31752.8354639393. The cubic root of 1008242560 is about 1002.7400055128.

The spelling of 1008242560 in words is "one billion, eight million, two hundred forty-two thousand, five hundred sixty".