1863648 has 60 divisors (see below), whose sum is σ = 5488560. Its totient is φ = 620352.

The previous prime is 1863647. The next prime is 1863649. The reversal of 1863648 is 8463681.

It is a happy number.

1863648 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (1863647) and next prime (1863649).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863647) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2233 + ... + 2951.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

2^1863648 is an apocalyptic number.

1863648 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 1863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280).

1863648 is an abundant number, since it is smaller than the sum of its proper divisors (3624912).

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

1863648 is an equidigital number, since it uses as much as digits as its factorization.

1863648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1863648 is about 1365.1549362618. The cubic root of 1863648 is about 123.0612425536.

The spelling of 1863648 in words is "one million, eight hundred sixty-three thousand, six hundred forty-eight".