1038268020 has 96 divisors (see below), whose sum is σ = 2942352000. Its totient is φ = 273544704.

The previous prime is 1038268019. The next prime is 1038268043. The reversal of 1038268020 is 208628301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2974806 + ... + 2975154.

It is an arithmetic number, because the mean of its divisors is an integer number (30649500).

Almost surely, 2^1038268020 is an apocalyptic number.

1038268020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038268020 is an abundant number, since it is smaller than the sum of its proper divisors (1904083980).

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

1038268020 is a wasteful number, since it uses less digits than its factorization.

1038268020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1038268020 is about 32222.1665938217. The cubic root of 1038268020 is about 1012.5966644488.

The spelling of 1038268020 in words is "one billion, thirty-eight million, two hundred sixty-eight thousand, twenty".