1038968640 has 224 divisors, whose sum is σ = 3858768000. Its totient is φ = 262434816.

The previous prime is 1038968573. The next prime is 1038968657. The reversal of 1038968640 is 468698301.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160996 + ... + 167324.

Almost surely, 2^1038968640 is an apocalyptic number.

1038968640 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 1038968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929384000).

1038968640 is an abundant number, since it is smaller than the sum of its proper divisors (2819799360).

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

1038968640 is a wasteful number, since it uses less digits than its factorization.

1038968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1038968640 is about 32233.0364688157. The cubic root of 1038968640 is about 1012.8243789195.

The spelling of 1038968640 in words is "one billion, thirty-eight million, nine hundred sixty-eight thousand, six hundred forty".