1038666240 has 200 divisors, whose sum is σ = 3720916980. Its totient is φ = 276922368.

The previous prime is 1038666193. The next prime is 1038666287. The reversal of 1038666240 is 426668301.

It is an interprime number because it is at equal distance from previous prime (1038666193) and next prime (1038666287).

It can be written as a sum of positive squares in 2 ways, for example, as 1031180544 + 7485696 = 32112^2 + 2736^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1038666195 and 1038666204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204856 + ... + 209864.

Almost surely, 2^1038666240 is an apocalyptic number.

1038666240 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 1038666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860458490).

1038666240 is an abundant number, since it is smaller than the sum of its proper divisors (2682250740).

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

1038666240 is an frugal number, since it uses more digits than its factorization.

1038666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1038666240 is about 32228.3452879604. The cubic root of 1038666240 is about 1012.7261058821.

The spelling of 1038666240 in words is "one billion, thirty-eight million, six hundred sixty-six thousand, two hundred forty".