1138587840 has 560 divisors, whose sum is σ = 4543714560. Its totient is φ = 268738560.

The previous prime is 1138587811. The next prime is 1138587881. The reversal of 1138587840 is 487858311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10445706 + ... + 10445814.

It is an arithmetic number, because the mean of its divisors is an integer number (8113776).

Almost surely, 2^1138587840 is an apocalyptic number.

1138587840 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 1138587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271857280).

1138587840 is an abundant number, since it is smaller than the sum of its proper divisors (3405126720).

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

1138587840 is a wasteful number, since it uses less digits than its factorization.

1138587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1138587840 is about 33742.9672672692. The cubic root of 1138587840 is about 1044.2124022851.

It can be divided in two parts, 11385 and 87840, that added together give a square (99225 = 315²).

The spelling of 1138587840 in words is "one billion, one hundred thirty-eight million, five hundred eighty-seven thousand, eight hundred forty".