1038000960 has 448 divisors, whose sum is σ = 4002877440. Its totient is φ = 252149760.

The previous prime is 1038000959. The next prime is 1038000991. The reversal of 1038000960 is 690008301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5434465 + ... + 5434655.

Almost surely, 2^1038000960 is an apocalyptic number.

1038000960 is a gapful number since it is divisible by the number (10) 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 1038000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001438720).

1038000960 is an abundant number, since it is smaller than the sum of its proper divisors (2964876480).

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

1038000960 is a wasteful number, since it uses less digits than its factorization.

1038000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1038000960 is about 32218.0222856711. The cubic root of 1038000960 is about 1012.5098380388.

The spelling of 1038000960 in words is "one billion, thirty-eight million, nine hundred sixty", and thus it is an aban number.