1257676848 has 80 divisors (see below), whose sum is σ = 3615289440. Its totient is φ = 418611456.

The previous prime is 1257676841. The next prime is 1257676853. The reversal of 1257676848 is 8486767521.

1257676848 is a `hidden beast` number, since 1 + 2 + 576 + 7 + 68 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1257676794 and 1257676803.

It is not an unprimeable number, because it can be changed into a prime (1257676841) 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 15 ways as a sum of consecutive naturals, for example, 366790 + ... + 370202.

It is an arithmetic number, because the mean of its divisors is an integer number (45191118).

Almost surely, 2^1257676848 is an apocalyptic number.

1257676848 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 1257676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807644720).

1257676848 is an abundant number, since it is smaller than the sum of its proper divisors (2357612592).

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

1257676848 is a wasteful number, since it uses less digits than its factorization.

1257676848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4271 counting only the distinct ones).

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

The square root of 1257676848 is about 35463.7399043023. The cubic root of 1257676848 is about 1079.4180815726.

The spelling of 1257676848 in words is "one billion, two hundred fifty-seven million, six hundred seventy-six thousand, eight hundred forty-eight".