1406320560 has 120 divisors (see below), whose sum is σ = 4729704720. Its totient is φ = 374478336.

The previous prime is 1406320523. The next prime is 1406320561. The reversal of 1406320560 is 650236041.

1406320560 is a `hidden beast` number, since 1 + 40 + 63 + 2 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1406320561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889851 + ... + 891429.

It is an arithmetic number, because the mean of its divisors is an integer number (39414206).

Almost surely, 2^1406320560 is an apocalyptic number.

1406320560 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 1406320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364852360).

1406320560 is an abundant number, since it is smaller than the sum of its proper divisors (3323384160).

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

1406320560 is a wasteful number, since it uses less digits than its factorization.

1406320560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1406320560 is about 37500.9407881989. The cubic root of 1406320560 is about 1120.3699245729.

The spelling of 1406320560 in words is "one billion, four hundred six million, three hundred twenty thousand, five hundred sixty".