1238755680 has 288 divisors, whose sum is σ = 4433764608. Its totient is φ = 326592000.

The previous prime is 1238755663. The next prime is 1238755703. The reversal of 1238755680 is 865578321.

1238755680 is a `hidden beast` number, since 1 + 2 + 3 + 87 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5870775 + ... + 5870985.

It is an arithmetic number, because the mean of its divisors is an integer number (15395016).

Almost surely, 2^1238755680 is an apocalyptic number.

1238755680 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 1238755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216882304).

1238755680 is an abundant number, since it is smaller than the sum of its proper divisors (3195008928).

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

1238755680 is a wasteful number, since it uses less digits than its factorization.

1238755680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1238755680 is about 35195.9611319254. The cubic root of 1238755680 is about 1073.9775907437.

The spelling of 1238755680 in words is "one billion, two hundred thirty-eight million, seven hundred fifty-five thousand, six hundred eighty".