1461120 has 64 divisors (see below), whose sum is σ = 4663440. Its totient is φ = 389120.

The previous prime is 1461101. The next prime is 1461127. The reversal of 1461120 is 211641.

1461120 = T₂₃₂ + T₂₃₃ + ... + T₂₇₆.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1461120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461127) 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, 1540 + ... + 2300.

2^1461120 is an apocalyptic number.

1461120 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 1461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331720).

1461120 is an abundant number, since it is smaller than the sum of its proper divisors (3202320).

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

1461120 is an equidigital number, since it uses as much as digits as its factorization.

1461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1461120 is about 1208.7679678085. The cubic root of 1461120 is about 113.4737206846.

Adding to 1461120 its reverse (211641), we get a palindrome (1672761).

The spelling of 1461120 in words is "one million, four hundred sixty-one thousand, one hundred twenty".