1238874688 has 56 divisors (see below), whose sum is σ = 2498808312. Its totient is φ = 609337344.

The previous prime is 1238874671. The next prime is 1238874701. The reversal of 1238874688 is 8864788321.

It can be written as a sum of positive squares in 4 ways, for example, as 121176064 + 1117698624 = 11008^2 + 33432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222470 + ... + 1223482.

It is an arithmetic number, because the mean of its divisors is an integer number (44621577).

Almost surely, 2^1238874688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249404156).

1238874688 is an abundant number, since it is smaller than the sum of its proper divisors (1259933624).

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

1238874688 is a wasteful number, since it uses less digits than its factorization.

1238874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1309 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 55.

The square root of 1238874688 is about 35197.6517398533. The cubic root of 1238874688 is about 1074.0119821991.

The spelling of 1238874688 in words is "one billion, two hundred thirty-eight million, eight hundred seventy-four thousand, six hundred eighty-eight".