1238086080 has 448 divisors, whose sum is σ = 5448360960. Its totient is φ = 257126400.

The previous prime is 1238086007. The next prime is 1238086103. The reversal of 1238086080 is 806808321.

1238086080 is a `hidden beast` number, since 12 + 38 + 0 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664350 + ... + 666210.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 2^1238086080 is an apocalyptic number.

1238086080 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 1238086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724180480).

1238086080 is an abundant number, since it is smaller than the sum of its proper divisors (4210274880).

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

1238086080 is a wasteful number, since it uses less digits than its factorization.

1238086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1238086080 is about 35186.4473910055. The cubic root of 1238086080 is about 1073.7840457158.

The spelling of 1238086080 in words is "one billion, two hundred thirty-eight million, eighty-six thousand, eighty".