1140007284 has 336 divisors, whose sum is σ = 3586176720. Its totient is φ = 313528320.

The previous prime is 1140007279. The next prime is 1140007303. The reversal of 1140007284 is 4827000411.

It can be written as a sum of positive squares in 8 ways, for example, as 124947684 + 1015059600 = 11178^2 + 31860^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18688614 + ... + 18688674.

It is an arithmetic number, because the mean of its divisors is an integer number (10673145).

Almost surely, 2^1140007284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140007284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793088360).

1140007284 is an abundant number, since it is smaller than the sum of its proper divisors (2446169436).

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

1140007284 is a wasteful number, since it uses less digits than its factorization.

1140007284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1140007284 is about 33763.9938988266. The cubic root of 1140007284 is about 1044.6461517259.

Adding to 1140007284 its reverse (4827000411), we get a palindrome (5967007695).

The spelling of 1140007284 in words is "one billion, one hundred forty million, seven thousand, two hundred eighty-four".