1253648 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 535040.

The previous prime is 1253627. The next prime is 1253683. The reversal of 1253648 is 8463521.

It is a self number, because there is not a number n which added to its sum of digits gives 1253648.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2783 + ... + 3201.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^1253648 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 1253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1253648 is an abundant number, since it is smaller than the sum of its proper divisors (1558672).

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

1253648 is a wasteful number, since it uses less digits than its factorization.

1253648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 1253648 is about 1119.6642353849. The cubic root of 1253648 is about 107.8264244285.

It can be divided in two parts, 125 and 3648, that added together give a palindrome (3773).

The spelling of 1253648 in words is "one million, two hundred fifty-three thousand, six hundred forty-eight".