1481688 has 48 divisors (see below), whose sum is σ = 4324320. Its totient is φ = 455616.

The previous prime is 1481671. The next prime is 1481693. The reversal of 1481688 is 8861841.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^1481688 is an apocalyptic number.

1481688 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 1481688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162160).

1481688 is an abundant number, since it is smaller than the sum of its proper divisors (2842632).

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

1481688 is a wasteful number, since it uses less digits than its factorization.

1481688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1601 counting only the distinct ones).

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

The square root of 1481688 is about 1217.2460720824. The cubic root of 1481688 is about 114.0036933245.

The spelling of 1481688 in words is "one million, four hundred eighty-one thousand, six hundred eighty-eight".