1141900760 has 384 divisors, whose sum is σ = 3686860800. Its totient is φ = 307307520.

The previous prime is 1141900679. The next prime is 1141900777. The reversal of 1141900760 is 670091411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14454401 + ... + 14454479.

It is an arithmetic number, because the mean of its divisors is an integer number (9601200).

Almost surely, 2^1141900760 is an apocalyptic number.

1141900760 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 1141900760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843430400).

1141900760 is an abundant number, since it is smaller than the sum of its proper divisors (2544960040).

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

1141900760 is a wasteful number, since it uses less digits than its factorization.

1141900760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 1141900760 is about 33792.0221354094. The cubic root of 1141900760 is about 1045.2241943221.

The spelling of 1141900760 in words is "one billion, one hundred forty-one million, nine hundred thousand, seven hundred sixty".