1024740960 has 192 divisors, whose sum is σ = 3528935424. Its totient is φ = 248832000.

The previous prime is 1024740901. The next prime is 1024740961. The reversal of 1024740960 is 690474201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024740961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 250935 + ... + 254985.

It is an arithmetic number, because the mean of its divisors is an integer number (18379872).

Almost surely, 2^1024740960 is an apocalyptic number.

1024740960 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 1024740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764467712).

1024740960 is an abundant number, since it is smaller than the sum of its proper divisors (2504194464).

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

1024740960 is a wasteful number, since it uses less digits than its factorization.

1024740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1024740960 is about 32011.5754064057. The cubic root of 1024740960 is about 1008.1798935672.

The spelling of 1024740960 in words is "one billion, twenty-four million, seven hundred forty thousand, nine hundred sixty".