1347984 has 120 divisors (see below), whose sum is σ = 4410432. Its totient is φ = 380160.

The previous prime is 1347971. The next prime is 1347989. The reversal of 1347984 is 4897431.

1347984 = 231² + 232² + ... + 253².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1347989) 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 23 ways as a sum of consecutive naturals, for example, 36414 + ... + 36450.

2^1347984 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 1347984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205216).

1347984 is an abundant number, since it is smaller than the sum of its proper divisors (3062448).

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

1347984 is a wasteful number, since it uses less digits than its factorization.

1347984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1347984 is about 1161.0271314659. The cubic root of 1347984 is about 110.4659026809.

It can be divided in two parts, 134 and 7984, that added together give a palindrome (8118).

The spelling of 1347984 in words is "one million, three hundred forty-seven thousand, nine hundred eighty-four".