1248360960 has 320 divisors, whose sum is σ = 4977967104. Its totient is φ = 259276800.

The previous prime is 1248360959. The next prime is 1248360991. The reversal of 1248360960 is 690638421.

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

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 31 ways as a sum of consecutive naturals, for example, 590305 + ... + 592415.

Almost surely, 2^1248360960 is an apocalyptic number.

1248360960 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 1248360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488983552).

1248360960 is an abundant number, since it is smaller than the sum of its proper divisors (3729606144).

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

1248360960 is a wasteful number, since it uses less digits than its factorization.

1248360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1248360960 is about 35332.1519299349. The cubic root of 1248360960 is about 1076.7463117934.

The spelling of 1248360960 in words is "one billion, two hundred forty-eight million, three hundred sixty thousand, nine hundred sixty".