1461172160 has 84 divisors (see below), whose sum is σ = 4047527592. Its totient is φ = 500967936.

The previous prime is 1461172147. The next prime is 1461172171. The reversal of 1461172160 is 612711641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30914 + ... + 62273.

Almost surely, 2^1461172160 is an apocalyptic number.

1461172160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461172160 is an abundant number, since it is smaller than the sum of its proper divisors (2586355432).

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

1461172160 is an equidigital number, since it uses as much as digits as its factorization.

1461172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93218 (or 93201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 1461172160 is about 38225.2816863395. The cubic root of 1461172160 is about 1134.7507095446.

The spelling of 1461172160 in words is "one billion, four hundred sixty-one million, one hundred seventy-two thousand, one hundred sixty".