1138217080 has 384 divisors, whose sum is σ = 3640412160. Its totient is φ = 314496000.

The previous prime is 1138217063. The next prime is 1138217107. The reversal of 1138217080 is 807128311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8688615 + ... + 8688745.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2^1138217080 is an apocalyptic number.

1138217080 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 1138217080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820206080).

1138217080 is an abundant number, since it is smaller than the sum of its proper divisors (2502195080).

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

1138217080 is a wasteful number, since it uses less digits than its factorization.

1138217080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 1138217080 is about 33737.4729344093. The cubic root of 1138217080 is about 1044.0990471835.

The spelling of 1138217080 in words is "one billion, one hundred thirty-eight million, two hundred seventeen thousand, eighty".