1491984 has 60 divisors (see below), whose sum is σ = 4502316. Its totient is φ = 458496.

The previous prime is 1491979. The next prime is 1491989. The reversal of 1491984 is 4891941.

It is an interprime number because it is at equal distance from previous prime (1491979) and next prime (1491989).

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 1040400 = 672^2 + 1020^2 .

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 (1491989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474 + ... + 2270.

2^1491984 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 1491984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251158).

1491984 is an abundant number, since it is smaller than the sum of its proper divisors (3010332).

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

1491984 is a wasteful number, since it uses less digits than its factorization.

1491984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1491984 is about 1221.4679692894. The cubic root of 1491984 is about 114.2671481745.

The spelling of 1491984 in words is "one million, four hundred ninety-one thousand, nine hundred eighty-four".