1461672888 has 128 divisors (see below), whose sum is σ = 4169760000. Its totient is φ = 425782656.

The previous prime is 1461672859. The next prime is 1461672893. The reversal of 1461672888 is 8882761641.

It is a self number, because there is not a number n which added to its sum of digits gives 1461672888.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001103 + ... + 1002561.

It is an arithmetic number, because the mean of its divisors is an integer number (32576250).

Almost surely, 2^1461672888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461672888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084880000).

1461672888 is an abundant number, since it is smaller than the sum of its proper divisors (2708087112).

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

1461672888 is a wasteful number, since it uses less digits than its factorization.

1461672888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1496 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 1461672888 is about 38231.8308219735. The cubic root of 1461672888 is about 1134.8803170327.

The spelling of 1461672888 in words is "one billion, four hundred sixty-one million, six hundred seventy-two thousand, eight hundred eighty-eight".