1257648 has 80 divisors (see below), whose sum is σ = 3928320. Its totient is φ = 338688.

The previous prime is 1257647. The next prime is 1257653. The reversal of 1257648 is 8467521.

1257648 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (1257647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6286 + ... + 6482.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2^1257648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1257648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964160).

1257648 is an abundant number, since it is smaller than the sum of its proper divisors (2670672).

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

1257648 is a wasteful number, since it uses less digits than its factorization.

1257648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 1257648 is about 1121.4490625971. The cubic root of 1257648 is about 107.9409828448.

The spelling of 1257648 in words is "one million, two hundred fifty-seven thousand, six hundred forty-eight".