1138368960 has 168 divisors, whose sum is σ = 4146017616. Its totient is φ = 285696000.

The previous prime is 1138368947. The next prime is 1138368961. The reversal of 1138368960 is 698638311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138368961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37335 + ... + 60585.

Almost surely, 2^1138368960 is an apocalyptic number.

1138368960 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 1138368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073008808).

1138368960 is an abundant number, since it is smaller than the sum of its proper divisors (3007648656).

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

1138368960 is a wasteful number, since it uses less digits than its factorization.

1138368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23291 (or 23278 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1138368960 is about 33739.7237688752. The cubic root of 1138368960 is about 1044.1454855162.

The spelling of 1138368960 in words is "one billion, one hundred thirty-eight million, three hundred sixty-eight thousand, nine hundred sixty".