1047648 has 48 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 299136.

The previous prime is 1047647. The next prime is 1047649. The reversal of 1047648 is 8467401.

It is an interprime number because it is at equal distance from previous prime (1047647) and next prime (1047649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^1047648 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 1047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1047648 is an abundant number, since it is smaller than the sum of its proper divisors (2097312).

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

1047648 is a wasteful number, since it uses less digits than its factorization.

1047648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1047648 is about 1023.5467747006. The cubic root of 1047648 is about 101.5636880177.

The spelling of 1047648 in words is "one million, forty-seven thousand, six hundred forty-eight".