1238068800 has 420 divisors, whose sum is σ = 4681833156. Its totient is φ = 320716800.

The previous prime is 1238068789. The next prime is 1238068847. The reversal of 1238068800 is 88608321.

It can be written as a sum of positive squares in 6 ways, for example, as 375119424 + 862949376 = 19368^2 + 29376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5313484 + ... + 5313716.

Almost surely, 2^1238068800 is an apocalyptic number.

1238068800 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 1238068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340916578).

1238068800 is an abundant number, since it is smaller than the sum of its proper divisors (3443764356).

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

1238068800 is a wasteful number, since it uses less digits than its factorization.

1238068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

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

The square root of 1238068800 is about 35186.2018410626. The cubic root of 1238068800 is about 1073.7790500818.

The spelling of 1238068800 in words is "one billion, two hundred thirty-eight million, sixty-eight thousand, eight hundred".