1140583680 has 432 divisors, whose sum is σ = 4330173120. Its totient is φ = 286654464.

The previous prime is 1140583663. The next prime is 1140583681. The reversal of 1140583680 is 863850411.

1140583680 is a `hidden beast` number, since 1 + 14 + 0 + 583 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1140583680² = 2601862262164684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140583681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909664 + ... + 5909856.

Almost surely, 2^1140583680 is an apocalyptic number.

1140583680 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 1140583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165086560).

1140583680 is an abundant number, since it is smaller than the sum of its proper divisors (3189589440).

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

1140583680 is an equidigital number, since it uses as much as digits as its factorization.

1140583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1140583680 is about 33772.5284810006. The cubic root of 1140583680 is about 1044.8221823004.

The spelling of 1140583680 in words is "one billion, one hundred forty million, five hundred eighty-three thousand, six hundred eighty".