1248576768 has 108 divisors (see below), whose sum is σ = 3733472288. Its totient is φ = 416171520.

The previous prime is 1248576671. The next prime is 1248576779. The reversal of 1248576768 is 8676758421.

1248576768 is a `hidden beast` number, since 1 + 2 + 4 + 8 + 576 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52173 + ... + 72243.

Almost surely, 2^1248576768 is an apocalyptic number.

1248576768 is a gapful number since it is divisible by the number (18) 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 1248576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866736144).

1248576768 is an abundant number, since it is smaller than the sum of its proper divisors (2484895520).

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

1248576768 is an frugal number, since it uses more digits than its factorization.

1248576768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20102 (or 20076 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 1248576768 is about 35335.2057868636. The cubic root of 1248576768 is about 1076.8083550342.

It can be divided in two parts, 12485 and 76768, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 1248576768 in words is "one billion, two hundred forty-eight million, five hundred seventy-six thousand, seven hundred sixty-eight".