1887648 has 72 divisors (see below), whose sum is σ = 5771808. Its totient is φ = 529152.

The previous prime is 1887643. The next prime is 1887659. The reversal of 1887648 is 8467881.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (1887643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35590 + ... + 35642.

It is an arithmetic number, because the mean of its divisors is an integer number (80164).

2^1887648 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 1887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885904).

1887648 is an abundant number, since it is smaller than the sum of its proper divisors (3884160).

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

1887648 is an equidigital number, since it uses as much as digits as its factorization.

1887648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 1887648 is about 1373.9170280625. The cubic root of 1887648 is about 123.5872505989.

Multiplying 1887648 by its sum of digits (42), we get a square (79281216 = 8904²).

1887648 divided by its sum of digits (42) gives a palindrome (44944).

The spelling of 1887648 in words is "one million, eight hundred eighty-seven thousand, six hundred forty-eight".