1381248 has 96 divisors (see below), whose sum is σ = 4375800. Its totient is φ = 414720.

The previous prime is 1381231. The next prime is 1381271. The reversal of 1381248 is 8421831.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 12618 + ... + 12726.

2^1381248 is an apocalyptic number.

1381248 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 1381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187900).

1381248 is an abundant number, since it is smaller than the sum of its proper divisors (2994552).

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

1381248 is a wasteful number, since it uses less digits than its factorization.

1381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1381248 is about 1175.2650764827. The cubic root of 1381248 is about 111.3671794816.

It can be divided in two parts, 13812 and 48, that multiplied together give a triangular number (662976 = T₁₁₅₁).

The spelling of 1381248 in words is "one million, three hundred eighty-one thousand, two hundred forty-eight".