1075254840 has 384 divisors, whose sum is σ = 4151347200. Its totient is φ = 238464000.

The previous prime is 1075254833. The next prime is 1075254841. The reversal of 1075254840 is 484525701.

1075254840 is a `hidden beast` number, since 1 + 0 + 75 + 2 + 548 + 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 = 1075254795 and 1075254804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075254841) 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 95 ways as a sum of consecutive naturals, for example, 2332210 + ... + 2332670.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^1075254840 is an apocalyptic number.

1075254840 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 1075254840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075673600).

1075254840 is an abundant number, since it is smaller than the sum of its proper divisors (3076092360).

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

1075254840 is a wasteful number, since it uses less digits than its factorization.

1075254840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1075254840 is about 32791.0786647832. The cubic root of 1075254840 is about 1024.4807490950.

The spelling of 1075254840 in words is "one billion, seventy-five million, two hundred fifty-four thousand, eight hundred forty".