1648656 has 45 divisors (see below), whose sum is σ = 4657471. Its totient is φ = 544416.

The previous prime is 1648613. The next prime is 1648697. The reversal of 1648656 is 6568461.

The square root of 1648656 is 1284.

It is a perfect power (a square), and thus also a powerful number.

1648656 is a `hidden beast` number, since 1 + 648 + 6 + 5 + 6 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1648656.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15355 + ... + 15461.

2^1648656 is an apocalyptic number.

1648656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1648656 is the 1284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648656

1648656 is an abundant number, since it is smaller than the sum of its proper divisors (3008815).

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

1648656 is a wasteful number, since it uses less digits than its factorization.

1648656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 112 counting only the distinct ones).

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

The cubic root of 1648656 is about 118.1344823160.

Multiplying 1648656 by its sum of digits (36), we get a square (59351616 = 7704²).

1648656 divided by its sum of digits (36) gives a square (45796 = 214²).

It can be divided in two parts, 1648 and 656, that added together give a square (2304 = 48²).

The spelling of 1648656 in words is "one million, six hundred forty-eight thousand, six hundred fifty-six".