1461680 has 60 divisors (see below), whose sum is σ = 3760176. Its totient is φ = 528000.

The previous prime is 1461671. The next prime is 1461683. The reversal of 1461680 is 861641.

It is a Cunningham number, because it is equal to 1209²-1.

It is not an unprimeable number, because it can be changed into a prime (1461683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9605 + ... + 9755.

2^1461680 is an apocalyptic number.

1461680 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 1461680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880088).

1461680 is an abundant number, since it is smaller than the sum of its proper divisors (2298496).

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

1461680 is a wasteful number, since it uses less digits than its factorization.

1461680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1461680 is about 1208.9995864350. Note that the first 3 decimals coincide. The cubic root of 1461680 is about 113.4882157676.

The spelling of 1461680 in words is "one million, four hundred sixty-one thousand, six hundred eighty".