1056006160 has 40 divisors (see below), whose sum is σ = 2678417856. Its totient is φ = 384001920.

The previous prime is 1056006121. The next prime is 1056006163. The reversal of 1056006160 is 616006501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1056006160² = 2230298019915891200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056006163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 599124 + ... + 600883.

Almost surely, 2^1056006160 is an apocalyptic number.

1056006160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056006160 is an abundant number, since it is smaller than the sum of its proper divisors (1622411696).

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

1056006160 is a wasteful number, since it uses less digits than its factorization.

1056006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200031 (or 1200025 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1056006160 is about 32496.2483988537. The cubic root of 1056006160 is about 1018.3306540116.

The spelling of 1056006160 in words is "one billion, fifty-six million, six thousand, one hundred sixty".