1140693120 has 384 divisors, whose sum is σ = 4741776000. Its totient is φ = 246841344.

The previous prime is 1140693049. The next prime is 1140693133. The reversal of 1140693120 is 213960411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765336 + ... + 766824.

It is an arithmetic number, because the mean of its divisors is an integer number (12348375).

Almost surely, 2^1140693120 is an apocalyptic number.

1140693120 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 1140693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370888000).

1140693120 is an abundant number, since it is smaller than the sum of its proper divisors (3601082880).

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

1140693120 is a wasteful number, since it uses less digits than its factorization.

1140693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1140693120 is about 33774.1486939345. The cubic root of 1140693120 is about 1044.8555984318.

The spelling of 1140693120 in words is "one billion, one hundred forty million, six hundred ninety-three thousand, one hundred twenty".