1038008640 has 224 divisors, whose sum is σ = 3398056704. Its totient is φ = 268369920.

The previous prime is 1038008639. The next prime is 1038008683. The reversal of 1038008640 is 468008301.

It is a happy number.

1038008640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1038008598 and 1038008607.

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, 6611442 + ... + 6611598.

It is an arithmetic number, because the mean of its divisors is an integer number (15169896).

Almost surely, 2^1038008640 is an apocalyptic number.

1038008640 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 1038008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699028352).

1038008640 is an abundant number, since it is smaller than the sum of its proper divisors (2360048064).

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

1038008640 is a wasteful number, since it uses less digits than its factorization.

1038008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

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

The square root of 1038008640 is about 32218.1414733997. The cubic root of 1038008640 is about 1012.5123351645.

The spelling of 1038008640 in words is "one billion, thirty-eight million, eight thousand, six hundred forty".