1038197216 has 96 divisors (see below), whose sum is σ = 2451617280. Its totient is φ = 423360000.

The previous prime is 1038197213. The next prime is 1038197219. The reversal of 1038197216 is 6127918301.

1038197216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1038197213) and next prime (1038197219).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1038197216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038197213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460091 + ... + 462341.

It is an arithmetic number, because the mean of its divisors is an integer number (25537680).

Almost surely, 2^1038197216 is an apocalyptic number.

1038197216 is a gapful number since it is divisible by the number (16) 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 1038197216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225808640).

1038197216 is an abundant number, since it is smaller than the sum of its proper divisors (1413420064).

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

1038197216 is a wasteful number, since it uses less digits than its factorization.

1038197216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 1038197216 is about 32221.0678904347. The cubic root of 1038197216 is about 1012.5736461393.

The spelling of 1038197216 in words is "one billion, thirty-eight million, one hundred ninety-seven thousand, two hundred sixteen".