1461760 has 40 divisors (see below), whose sum is σ = 3510936. Its totient is φ = 583680.

The previous prime is 1461749. The next prime is 1461763. The reversal of 1461760 is 671641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461763) 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 3 ways as a sum of consecutive naturals, for example, 2275 + ... + 2845.

2^1461760 is an apocalyptic number.

1461760 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 1461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755468).

1461760 is an abundant number, since it is smaller than the sum of its proper divisors (2049176).

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

1461760 is an frugal number, since it uses more digits than its factorization.

1461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1461760 is about 1209.0326711880. The cubic root of 1461760 is about 113.4902861915.

The spelling of 1461760 in words is "one million, four hundred sixty-one thousand, seven hundred sixty".