1038023568 has 120 divisors (see below), whose sum is σ = 3005042040. Its totient is φ = 334264320.

The previous prime is 1038023543. The next prime is 1038023579. The reversal of 1038023568 is 8653208301.

1038023568 is a `hidden beast` number, since 10 + 3 + 80 + 2 + 3 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76527504 + 961496064 = 8748^2 + 31008^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642730 + ... + 644342.

It is an arithmetic number, because the mean of its divisors is an integer number (25042017).

Almost surely, 2^1038023568 is an apocalyptic number.

1038023568 is a gapful number since it is divisible by the number (18) 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 1038023568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502521020).

1038023568 is an abundant number, since it is smaller than the sum of its proper divisors (1967018472).

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

1038023568 is a wasteful number, since it uses less digits than its factorization.

1038023568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1038023568 is about 32218.3731432858. The cubic root of 1038023568 is about 1012.5171889171.

The spelling of 1038023568 in words is "one billion, thirty-eight million, twenty-three thousand, five hundred sixty-eight".