1125260640 has 384 divisors, whose sum is σ = 4551966720. Its totient is φ = 254306304.

The previous prime is 1125260629. The next prime is 1125260641. The reversal of 1125260640 is 460625211.

1125260640 is a `hidden beast` number, since 1 + 1 + 2 + 52 + 606 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125260641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840334 + ... + 3840626.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^1125260640 is an apocalyptic number.

1125260640 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 1125260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275983360).

1125260640 is an abundant number, since it is smaller than the sum of its proper divisors (3426706080).

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

1125260640 is a wasteful number, since it uses less digits than its factorization.

1125260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1125260640 is about 33544.9048291987. The cubic root of 1125260640 is about 1040.1222242940.

Adding to 1125260640 its reverse (460625211), we get a palindrome (1585885851).

The spelling of 1125260640 in words is "one billion, one hundred twenty-five million, two hundred sixty thousand, six hundred forty".