1460640006 has 128 divisors (see below), whose sum is σ = 3851366400. Its totient is φ = 401656320.

The previous prime is 1460639981. The next prime is 1460640031. The reversal of 1460640006 is 6000460641.

1460640006 is a `hidden beast` number, since 14 + 6 + 0 + 640 + 0 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1460639981) and next prime (1460640031).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223746 + ... + 1224938.

It is an arithmetic number, because the mean of its divisors is an integer number (30088800).

Almost surely, 2^1460640006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460640006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925683200).

1460640006 is an abundant number, since it is smaller than the sum of its proper divisors (2390726394).

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

1460640006 is a wasteful number, since it uses less digits than its factorization.

1460640006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1460640006 is about 38218.3202927601. The cubic root of 1460640006 is about 1134.6129353501.

The spelling of 1460640006 in words is "one billion, four hundred sixty million, six hundred forty thousand, six".