1134760240 has 80 divisors (see below), whose sum is σ = 2700398592. Its totient is φ = 443342592.

The previous prime is 1134760229. The next prime is 1134760261. The reversal of 1134760240 is 420674311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1134760199 and 1134760208.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 679887 + ... + 681553.

Almost surely, 2^1134760240 is an apocalyptic number.

1134760240 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 1134760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350199296).

1134760240 is an abundant number, since it is smaller than the sum of its proper divisors (1565638352).

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

1134760240 is a wasteful number, since it uses less digits than its factorization.

1134760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1134760240 is about 33686.2025167575. The cubic root of 1134760240 is about 1043.0409761974.

The spelling of 1134760240 in words is "one billion, one hundred thirty-four million, seven hundred sixty thousand, two hundred forty".