1140951680 has 128 divisors (see below), whose sum is σ = 3045556800. Its totient is φ = 405135360.

The previous prime is 1140951677. The next prime is 1140951689. The reversal of 1140951680 is 861590411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1140951680.

It is not an unprimeable number, because it can be changed into a prime (1140951689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300836 + ... + 304604.

Almost surely, 2^1140951680 is an apocalyptic number.

1140951680 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 1140951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522778400).

1140951680 is an abundant number, since it is smaller than the sum of its proper divisors (1904605120).

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

1140951680 is a wasteful number, since it uses less digits than its factorization.

1140951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 1140951680 is about 33777.9762567268. The cubic root of 1140951680 is about 1044.9345379962.

The spelling of 1140951680 in words is "one billion, one hundred forty million, nine hundred fifty-one thousand, six hundred eighty".