1126128960 has 672 divisors, whose sum is σ = 4716109440. Its totient is φ = 250675200.

The previous prime is 1126128947. The next prime is 1126128979. The reversal of 1126128960 is 698216211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27466540 + ... + 27466580.

It is an arithmetic number, because the mean of its divisors is an integer number (7018020).

Almost surely, 2^1126128960 is an apocalyptic number.

1126128960 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 1126128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358054720).

1126128960 is an abundant number, since it is smaller than the sum of its proper divisors (3589980480).

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

1126128960 is a wasteful number, since it uses less digits than its factorization.

1126128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1126128960 is about 33557.8449844444. The cubic root of 1126128960 is about 1040.3896961686.

The spelling of 1126128960 in words is "one billion, one hundred twenty-six million, one hundred twenty-eight thousand, nine hundred sixty".