1126006080 has 112 divisors (see below), whose sum is σ = 3590080704. Its totient is φ = 299008000.

The previous prime is 1126006073. The next prime is 1126006081. The reversal of 1126006080 is 806006211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1126006080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126006081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238624 + ... + 243296.

It is an arithmetic number, because the mean of its divisors is an integer number (32054292).

Almost surely, 2^1126006080 is an apocalyptic number.

1126006080 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 1126006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795040352).

1126006080 is an abundant number, since it is smaller than the sum of its proper divisors (2464074624).

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

1126006080 is a wasteful number, since it uses less digits than its factorization.

1126006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4934 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1126006080 is about 33556.0140660359. The cubic root of 1126006080 is about 1040.3518533340.

The spelling of 1126006080 in words is "one billion, one hundred twenty-six million, six thousand, eighty".