1038507642 has 48 divisors (see below), whose sum is σ = 2350377120. Its totient is φ = 343656432.

The previous prime is 1038507641. The next prime is 1038507649. The reversal of 1038507642 is 2467058301.

1038507642 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 0 + 7 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1038507597 and 1038507606.

It is not an unprimeable number, because it can be changed into a prime (1038507641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59868 + ... + 75240.

It is an arithmetic number, because the mean of its divisors is an integer number (48966190).

Almost surely, 2^1038507642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038507642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175188560).

1038507642 is an abundant number, since it is smaller than the sum of its proper divisors (1311869478).

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

1038507642 is a wasteful number, since it uses less digits than its factorization.

1038507642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15529 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1038507642 is about 32225.8846581440. The cubic root of 1038507642 is about 1012.6745575584.

The spelling of 1038507642 in words is "one billion, thirty-eight million, five hundred seven thousand, six hundred forty-two".