1125084240 has 480 divisors, whose sum is σ = 4704460800. Its totient is φ = 235146240.

The previous prime is 1125084223. The next prime is 1125084241. The reversal of 1125084240 is 424805211.

1125084240 is a `hidden beast` number, since 112 + 508 + 4 + 2 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125084241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2968371 + ... + 2968749.

It is an arithmetic number, because the mean of its divisors is an integer number (9800960).

Almost surely, 2^1125084240 is an apocalyptic number.

1125084240 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 1125084240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352230400).

1125084240 is an abundant number, since it is smaller than the sum of its proper divisors (3579376560).

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

1125084240 is a wasteful number, since it uses less digits than its factorization.

1125084240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1125084240 is about 33542.2754147658. The cubic root of 1125084240 is about 1040.0678703241.

Adding to 1125084240 its reverse (424805211), we get a palindrome (1549889451).

The spelling of 1125084240 in words is "one billion, one hundred twenty-five million, eighty-four thousand, two hundred forty".