1488168 has 48 divisors (see below), whose sum is σ = 4399200. Its totient is φ = 450720.

The previous prime is 1488167. The next prime is 1488173. The reversal of 1488168 is 8618841.

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 not an unprimeable number, because it can be changed into a prime (1488167) 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, 148 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (91650).

2^1488168 is an apocalyptic number.

1488168 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 1488168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199600).

1488168 is an abundant number, since it is smaller than the sum of its proper divisors (2911032).

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

1488168 is a wasteful number, since it uses less digits than its factorization.

1488168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1895 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1488168 is about 1219.9049143273. The cubic root of 1488168 is about 114.1696458514.

The spelling of 1488168 in words is "one million, four hundred eighty-eight thousand, one hundred sixty-eight".