1059038838 has 72 divisors (see below), whose sum is σ = 2710632600. Its totient is φ = 296225280.

The previous prime is 1059038837. The next prime is 1059038861. The reversal of 1059038838 is 8388309501.

It is a super-3 number, since 3×1059038838³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1059038793 and 1059038802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059038837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17638 + ... + 49286.

It is an arithmetic number, because the mean of its divisors is an integer number (37647675).

Almost surely, 2^1059038838 is an apocalyptic number.

1059038838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1059038838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355316300).

1059038838 is an abundant number, since it is smaller than the sum of its proper divisors (1651593762).

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

1059038838 is a wasteful number, since it uses less digits than its factorization.

1059038838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31678 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1059038838 is about 32542.8769164621. The cubic root of 1059038838 is about 1019.3045490071.

The spelling of 1059038838 in words is "one billion, fifty-nine million, thirty-eight thousand, eight hundred thirty-eight".