1126725600 has 864 divisors, whose sum is σ = 5086924416. Its totient is φ = 212889600.

The previous prime is 1126725583. The next prime is 1126725619. The reversal of 1126725600 is 65276211.

It is a super-3 number, since 3×1126725600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16816767 + ... + 16816833.

It is an arithmetic number, because the mean of its divisors is an integer number (5887644).

Almost surely, 2^1126725600 is an apocalyptic number.

1126725600 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 1126725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543462208).

1126725600 is an abundant number, since it is smaller than the sum of its proper divisors (3960198816).

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

1126725600 is a wasteful number, since it uses less digits than its factorization.

1126725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1126725600 is about 33566.7335318765. The cubic root of 1126725600 is about 1040.5734017468.

The spelling of 1126725600 in words is "one billion, one hundred twenty-six million, seven hundred twenty-five thousand, six hundred".