1038797568 has 144 divisors (see below), whose sum is σ = 3097150560. Its totient is φ = 343425024.

The previous prime is 1038797531. The next prime is 1038797593. The reversal of 1038797568 is 8657978301.

1038797568 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 79 + 7 + 568 = 666.

1038797568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 946396 + ... + 947492.

It is an arithmetic number, because the mean of its divisors is an integer number (21507990).

Almost surely, 2^1038797568 is an apocalyptic number.

1038797568 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 1038797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548575280).

1038797568 is an abundant number, since it is smaller than the sum of its proper divisors (2058352992).

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

1038797568 is a wasteful number, since it uses less digits than its factorization.

1038797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1038797568 is about 32230.3826846657. The cubic root of 1038797568 is about 1012.7687868011.

The spelling of 1038797568 in words is "one billion, thirty-eight million, seven hundred ninety-seven thousand, five hundred sixty-eight".