1779648 has 112 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 506880.

The previous prime is 1779647. The next prime is 1779649. The reversal of 1779648 is 8469771.

It is an interprime number because it is at equal distance from previous prime (1779647) and next prime (1779649).

Its product of digits (84672) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1779647) 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, 57393 + ... + 57423.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

2^1779648 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 1779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

1779648 is an abundant number, since it is smaller than the sum of its proper divisors (3682368).

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

1779648 is a wasteful number, since it uses less digits than its factorization.

1779648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 72 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 1779648 is about 1334.0344823130. The cubic root of 1779648 is about 121.1838382092.

The spelling of 1779648 in words is "one million, seven hundred seventy-nine thousand, six hundred forty-eight".