1461960 has 96 divisors (see below), whose sum is σ = 4942080. Its totient is φ = 374400.

The previous prime is 1461953. The next prime is 1461973. The reversal of 1461960 is 691641.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11095 + ... + 11225.

It is an arithmetic number, because the mean of its divisors is an integer number (51480).

2^1461960 is an apocalyptic number.

1461960 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 1461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471040).

1461960 is an abundant number, since it is smaller than the sum of its proper divisors (3480120).

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

1461960 is a wasteful number, since it uses less digits than its factorization.

1461960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1461960 is about 1209.1153791099. The cubic root of 1461960 is about 113.4954619208.

The spelling of 1461960 in words is "one million, four hundred sixty-one thousand, nine hundred sixty".