1461360 has 40 divisors (see below), whose sum is σ = 4530960. Its totient is φ = 389632.

The previous prime is 1461359. The next prime is 1461367. The reversal of 1461360 is 631641.

1461360 = 198² + 199² + ... + 229².

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 (1461367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2805 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (113274).

2^1461360 is an apocalyptic number.

1461360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461360 is an abundant number, since it is smaller than the sum of its proper divisors (3069600).

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

1461360 is a wasteful number, since it uses less digits than its factorization.

1461360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1461360 is about 1208.8672383682. The cubic root of 1461360 is about 113.4799333165.

The spelling of 1461360 in words is "one million, four hundred sixty-one thousand, three hundred sixty".