1248777360 has 120 divisors (see below), whose sum is σ = 4262711544. Its totient is φ = 327536640.

The previous prime is 1248777359. The next prime is 1248777391. The reversal of 1248777360 is 637778421.

It can be written as a sum of positive squares in 4 ways, for example, as 1557504 + 1247219856 = 1248^2 + 35316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29704 + ... + 58136.

Almost surely, 2^1248777360 is an apocalyptic number.

1248777360 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 1248777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131355772).

1248777360 is an abundant number, since it is smaller than the sum of its proper divisors (3013934184).

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

1248777360 is a wasteful number, since it uses less digits than its factorization.

1248777360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28513 (or 28504 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 1248777360 is about 35338.0440884891. The cubic root of 1248777360 is about 1076.8660173745.

The spelling of 1248777360 in words is "one billion, two hundred forty-eight million, seven hundred seventy-seven thousand, three hundred sixty".