1140617160 has 128 divisors (see below), whose sum is σ = 3812025600. Its totient is φ = 303367680.

The previous prime is 1140617129. The next prime is 1140617207. The reversal of 1140617160 is 617160411.

1140617160 is a `hidden beast` number, since 1 + 1 + 40 + 617 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492405 + ... + 494715.

It is an arithmetic number, because the mean of its divisors is an integer number (29781450).

Almost surely, 2^1140617160 is an apocalyptic number.

1140617160 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 1140617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906012800).

1140617160 is an abundant number, since it is smaller than the sum of its proper divisors (2671408440).

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

1140617160 is a wasteful number, since it uses less digits than its factorization.

1140617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1140617160 is about 33773.0241464989. The cubic root of 1140617160 is about 1044.8324052254.

Adding to 1140617160 its reverse (617160411), we get a palindrome (1757777571).

The spelling of 1140617160 in words is "one billion, one hundred forty million, six hundred seventeen thousand, one hundred sixty".