1563840 has 112 divisors (see below), whose sum is σ = 5547360. Its totient is φ = 414720.

The previous prime is 1563829. The next prime is 1563851. The reversal of 1563840 is 483651.

It is an interprime number because it is at equal distance from previous prime (1563829) and next prime (1563851).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550 + ... + 8730.

It is an arithmetic number, because the mean of its divisors is an integer number (49530).

2^1563840 is an apocalyptic number.

1563840 is a gapful number since it is divisible by the number (10) 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 1563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773680).

1563840 is an abundant number, since it is smaller than the sum of its proper divisors (3983520).

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

1563840 is a wasteful number, since it uses less digits than its factorization.

1563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1563840 is about 1250.5358851309. The cubic root of 1563840 is about 116.0728832503.

The spelling of 1563840 in words is "one million, five hundred sixty-three thousand, eight hundred forty".