1656648 has 96 divisors (see below), whose sum is σ = 5428800. Its totient is φ = 445824.

The previous prime is 1656647. The next prime is 1656649. The reversal of 1656648 is 8466561.

1656648 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1656647) and next prime (1656649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9490 + ... + 9662.

It is an arithmetic number, because the mean of its divisors is an integer number (56550).

2^1656648 is an apocalyptic number.

1656648 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 1656648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714400).

1656648 is an abundant number, since it is smaller than the sum of its proper divisors (3772152).

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

1656648 is a wasteful number, since it uses less digits than its factorization.

1656648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1656648 is about 1287.1083870444. The cubic root of 1656648 is about 118.3250636730.

It can be divided in two parts, 1656 and 648, that added together give a square (2304 = 48²).

The spelling of 1656648 in words is "one million, six hundred fifty-six thousand, six hundred forty-eight".