1461125660 has 96 divisors (see below), whose sum is σ = 3222374400. Its totient is φ = 556098048.

The previous prime is 1461125641. The next prime is 1461125689. The reversal of 1461125660 is 665211641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7342241 + ... + 7342439.

It is an arithmetic number, because the mean of its divisors is an integer number (33566400).

Almost surely, 2^1461125660 is an apocalyptic number.

1461125660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461125660 is an abundant number, since it is smaller than the sum of its proper divisors (1761248740).

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

1461125660 is a wasteful number, since it uses less digits than its factorization.

1461125660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 1461125660 is about 38224.6734453023. The cubic root of 1461125660 is about 1134.7386720701.

The spelling of 1461125660 in words is "one billion, four hundred sixty-one million, one hundred twenty-five thousand, six hundred sixty".