1461112160 has 96 divisors (see below), whose sum is σ = 3650572800. Its totient is φ = 551093760.

The previous prime is 1461112151. The next prime is 1461112187. The reversal of 1461112160 is 612111641.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725555 + ... + 727565.

It is an arithmetic number, because the mean of its divisors is an integer number (38026800).

Almost surely, 2^1461112160 is an apocalyptic number.

1461112160 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 1461112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825286400).

1461112160 is an abundant number, since it is smaller than the sum of its proper divisors (2189460640).

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

1461112160 is a wasteful number, since it uses less digits than its factorization.

1461112160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1461112160 is about 38224.4968573819. The cubic root of 1461112160 is about 1134.7351772716.

The spelling of 1461112160 in words is "one billion, four hundred sixty-one million, one hundred twelve thousand, one hundred sixty".