1248788160 has 84 divisors (see below), whose sum is σ = 4295320848. Its totient is φ = 333009408.

The previous prime is 1248788153. The next prime is 1248788179. The reversal of 1248788160 is 618878421.

1248788160 is a `hidden beast` number, since 1 + 2 + 487 + 8 + 8 + 160 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213924 + ... + 219683.

It is an arithmetic number, because the mean of its divisors is an integer number (51134772).

Almost surely, 2^1248788160 is an apocalyptic number.

1248788160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248788160 is an abundant number, since it is smaller than the sum of its proper divisors (3046532688).

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

1248788160 is a wasteful number, since it uses less digits than its factorization.

1248788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433630 (or 433617 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1248788160 is about 35338.1968979743. The cubic root of 1248788160 is about 1076.8691217762.

The spelling of 1248788160 in words is "one billion, two hundred forty-eight million, seven hundred eighty-eight thousand, one hundred sixty".