1768140 has 144 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 397440.

The previous prime is 1768127. The next prime is 1768141. The reversal of 1768140 is 418671.

It is a happy number.

1768140 is a nontrivial binomial coefficient, being equal to C(1881, 2).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1768141) 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 47 ways as a sum of consecutive naturals, for example, 37597 + ... + 37643.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2^1768140 is an apocalyptic number.

1768140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1768140 is the 1880-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

1768140 is an abundant number, since it is smaller than the sum of its proper divisors (4521780).

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

1768140 is a wasteful number, since it uses less digits than its factorization.

1768140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1768140 is about 1329.7142550187. The cubic root of 1768140 is about 120.9220635106.

The spelling of 1768140 in words is "one million, seven hundred sixty-eight thousand, one hundred forty".