1038848640 has 128 divisors (see below), whose sum is σ = 3320956800. Its totient is φ = 276221952.

The previous prime is 1038848623. The next prime is 1038848647. The reversal of 1038848640 is 468488301.

1038848640 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 (128).

It is a junction number, because it is equal to n+sod(n) for n = 1038848592 and 1038848601.

It is not an unprimeable number, because it can be changed into a prime (1038848647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976749 + ... + 977811.

It is an arithmetic number, because the mean of its divisors is an integer number (25944975).

Almost surely, 2^1038848640 is an apocalyptic number.

1038848640 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 1038848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660478400).

1038848640 is an abundant number, since it is smaller than the sum of its proper divisors (2282108160).

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

1038848640 is a wasteful number, since it uses less digits than its factorization.

1038848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1038848640 is about 32231.1749708260. The cubic root of 1038848640 is about 1012.7853839648.

The spelling of 1038848640 in words is "one billion, thirty-eight million, eight hundred forty-eight thousand, six hundred forty".