1038707616 has 144 divisors (see below), whose sum is σ = 2998628640. Its totient is φ = 314388480.

The previous prime is 1038707611. The next prime is 1038707629. The reversal of 1038707616 is 6167078301.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (1038707611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803931 + ... + 805221.

It is an arithmetic number, because the mean of its divisors is an integer number (20823810).

Almost surely, 2^1038707616 is an apocalyptic number.

1038707616 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 1038707616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499314320).

1038707616 is an abundant number, since it is smaller than the sum of its proper divisors (1959921024).

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

1038707616 is a wasteful number, since it uses less digits than its factorization.

1038707616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1038707616 is about 32228.9872009655. The cubic root of 1038707616 is about 1012.7395532557.

The spelling of 1038707616 in words is "one billion, thirty-eight million, seven hundred seven thousand, six hundred sixteen".