1056161200 has 60 divisors (see below), whose sum is σ = 2575364680. Its totient is φ = 416148480.

The previous prime is 1056161177. The next prime is 1056161203. The reversal of 1056161200 is 21616501.

It is a super-2 number, since 2×1056161200² = 2230952960770880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056161203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7096 + ... + 46504.

Almost surely, 2^1056161200 is an apocalyptic number.

1056161200 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 1056161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287682340).

1056161200 is an abundant number, since it is smaller than the sum of its proper divisors (1519203480).

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

1056161200 is a wasteful number, since it uses less digits than its factorization.

1056161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39494 (or 39483 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1056161200 is about 32498.6338174392. The cubic root of 1056161200 is about 1018.3804877672.

Adding to 1056161200 its reverse (21616501), we get a palindrome (1077777701).

The spelling of 1056161200 in words is "one billion, fifty-six million, one hundred sixty-one thousand, two hundred".