1461688536 has 64 divisors (see below), whose sum is σ = 4555918080. Its totient is φ = 379658880.

The previous prime is 1461688531. The next prime is 1461688541. The reversal of 1461688536 is 6358861641.

It is an interprime number because it is at equal distance from previous prime (1461688531) and next prime (1461688541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461688531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 393631 + ... + 397326.

It is an arithmetic number, because the mean of its divisors is an integer number (71186220).

Almost surely, 2^1461688536 is an apocalyptic number.

It is an amenable number.

1461688536 is an abundant number, since it is smaller than the sum of its proper divisors (3094229544).

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

1461688536 is a wasteful number, since it uses less digits than its factorization.

1461688536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790984 (or 790980 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1461688536 is about 38232.0354676546. The cubic root of 1461688536 is about 1134.8843668544.

The spelling of 1461688536 in words is "one billion, four hundred sixty-one million, six hundred eighty-eight thousand, five hundred thirty-six".