1126162800 has 720 divisors, whose sum is σ = 4893258240. Its totient is φ = 234178560.

The previous prime is 1126162799. The next prime is 1126162837. The reversal of 1126162800 is 82616211.

1126162800 is a `hidden beast` number, since 11 + 26 + 1 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16808367 + ... + 16808433.

It is an arithmetic number, because the mean of its divisors is an integer number (6796192).

Almost surely, 2^1126162800 is an apocalyptic number.

1126162800 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 1126162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446629120).

1126162800 is an abundant number, since it is smaller than the sum of its proper divisors (3767095440).

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

1126162800 is a wasteful number, since it uses less digits than its factorization.

1126162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1126162800 is about 33558.3491846664. The cubic root of 1126162800 is about 1040.4001172471.

The spelling of 1126162800 in words is "one billion, one hundred twenty-six million, one hundred sixty-two thousand, eight hundred".