1768248 has 48 divisors (see below), whose sum is σ = 4914000. Its totient is φ = 574080.

The previous prime is 1768243. The next prime is 1768253. The reversal of 1768248 is 8428671.

It is an interprime number because it is at equal distance from previous prime (1768243) and next prime (1768253).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2653 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (102375).

2^1768248 is an apocalyptic number.

1768248 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 1768248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457000).

1768248 is an abundant number, since it is smaller than the sum of its proper divisors (3145752).

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

1768248 is a wasteful number, since it uses less digits than its factorization.

1768248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 645 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1768248 is about 1329.7548646273. The cubic root of 1768248 is about 120.9245254795.

It can be divided in two parts, 1768 and 248, that added together give a triangular number (2016 = T₆₃).

The spelling of 1768248 in words is "one million, seven hundred sixty-eight thousand, two hundred forty-eight".