1138613760 has 600 divisors, whose sum is σ = 4560165720. Its totient is φ = 270729216.

The previous prime is 1138613717. The next prime is 1138613761. The reversal of 1138613760 is 673168311.

1138613760 is a `hidden beast` number, since 1 + 1 + 38 + 613 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×1138613760² = 2592882588922675200, 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 (1138613761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59927031 + ... + 59927049.

Almost surely, 2^1138613760 is an apocalyptic number.

1138613760 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 1138613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280082860).

1138613760 is an abundant number, since it is smaller than the sum of its proper divisors (3421551960).

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

1138613760 is an equidigital number, since it uses as much as digits as its factorization.

1138613760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1138613760 is about 33743.3513451169. The cubic root of 1138613760 is about 1044.2203260714.

The spelling of 1138613760 in words is "one billion, one hundred thirty-eight million, six hundred thirteen thousand, seven hundred sixty".