1361440 has 48 divisors (see below), whose sum is σ = 3290112. Its totient is φ = 532224.

The previous prime is 1361431. The next prime is 1361441. The reversal of 1361440 is 441631.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361441) 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 7 ways as a sum of consecutive naturals, for example, 10657 + ... + 10783.

It is an arithmetic number, because the mean of its divisors is an integer number (68544).

2^1361440 is an apocalyptic number.

1361440 is a gapful number since it is divisible by the number (10) 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 1361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056).

1361440 is an abundant number, since it is smaller than the sum of its proper divisors (1928672).

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

1361440 is a wasteful number, since it uses less digits than its factorization.

1361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1361440 is about 1166.8076105340. The cubic root of 1361440 is about 110.8322548120.

The spelling of 1361440 in words is "one million, three hundred sixty-one thousand, four hundred forty".