1460068680 has 256 divisors, whose sum is σ = 5379840000. Its totient is φ = 315995904.

The previous prime is 1460068651. The next prime is 1460068697. The reversal of 1460068680 is 868600641.

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 63 ways as a sum of consecutive naturals, for example, 781107 + ... + 782973.

It is an arithmetic number, because the mean of its divisors is an integer number (21015000).

Almost surely, 2^1460068680 is an apocalyptic number.

1460068680 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 1460068680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689920000).

1460068680 is an abundant number, since it is smaller than the sum of its proper divisors (3919771320).

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

1460068680 is a wasteful number, since it uses less digits than its factorization.

1460068680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1460068680 is about 38210.8450573918. The cubic root of 1460068680 is about 1134.4649823058.

The spelling of 1460068680 in words is "one billion, four hundred sixty million, sixty-eight thousand, six hundred eighty".