1126589040 has 320 divisors, whose sum is σ = 4141401600. Its totient is φ = 280682496.

The previous prime is 1126589033. The next prime is 1126589081. The reversal of 1126589040 is 409856211.

1126589040 is a `hidden beast` number, since 11 + 26 + 589 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1126588986 and 1126589004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3980739 + ... + 3981021.

It is an arithmetic number, because the mean of its divisors is an integer number (12941880).

Almost surely, 2^1126589040 is an apocalyptic number.

1126589040 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 1126589040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070700800).

1126589040 is an abundant number, since it is smaller than the sum of its proper divisors (3014812560).

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

1126589040 is a wasteful number, since it uses less digits than its factorization.

1126589040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1126589040 is about 33564.6993134156. The cubic root of 1126589040 is about 1040.5313606189.

The spelling of 1126589040 in words is "one billion, one hundred twenty-six million, five hundred eighty-nine thousand, forty".