1461168 has 60 divisors (see below), whose sum is σ = 4175080. Its totient is φ = 476928.

The previous prime is 1461151. The next prime is 1461169. The reversal of 1461168 is 8611641.

It is a super-3 number, since 3×1461168³ = 9358833309883600896, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1461169) 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, 10443 + ... + 10581.

2^1461168 is an apocalyptic number.

1461168 is a gapful number since it is divisible by the number (18) 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 1461168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087540).

1461168 is an abundant number, since it is smaller than the sum of its proper divisors (2713912).

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

1461168 is a wasteful number, since it uses less digits than its factorization.

1461168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1461168 is about 1208.7878225727. The cubic root of 1461168 is about 113.4749632654.

Adding to 1461168 its sum of digits (27), we get a triangular number (1461195 = T₁₇₀₉).

The spelling of 1461168 in words is "one million, four hundred sixty-one thousand, one hundred sixty-eight".