1608056460 has 72 divisors (see below), whose sum is σ = 4883140080. Its totient is φ = 428343168.

The previous prime is 1608056407. The next prime is 1608056551. The reversal of 1608056460 is 646508061.

1608056460 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 0 + 5 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177931 + ... + 186749.

It is an arithmetic number, because the mean of its divisors is an integer number (67821390).

Almost surely, 2^1608056460 is an apocalyptic number.

1608056460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608056460 is an abundant number, since it is smaller than the sum of its proper divisors (3275083620).

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

1608056460 is a wasteful number, since it uses less digits than its factorization.

1608056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9847 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1608056460 is about 40100.5792975613. The cubic root of 1608056460 is about 1171.5669122050.

The spelling of 1608056460 in words is "one billion, six hundred eight million, fifty-six thousand, four hundred sixty".