1138305960 has 480 divisors, whose sum is σ = 4503232800. Its totient is φ = 255052800.

The previous prime is 1138305937. The next prime is 1138305967. The reversal of 1138305960 is 695038311.

It is a happy number.

1138305960 is a `hidden beast` number, since 1 + 1 + 38 + 30 + 596 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1138305967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27763540 + ... + 27763580.

It is an arithmetic number, because the mean of its divisors is an integer number (9381735).

Almost surely, 2^1138305960 is an apocalyptic number.

1138305960 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 1138305960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251616400).

1138305960 is an abundant number, since it is smaller than the sum of its proper divisors (3364926840).

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

1138305960 is a wasteful number, since it uses less digits than its factorization.

1138305960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1138305960 is about 33738.7901383556. The cubic root of 1138305960 is about 1044.1262233434.

The spelling of 1138305960 in words is "one billion, one hundred thirty-eight million, three hundred five thousand, nine hundred sixty".