1038608970 has 128 divisors (see below), whose sum is σ = 3020544000. Its totient is φ = 223264512.

The previous prime is 1038608969. The next prime is 1038609001. The reversal of 1038608970 is 798068301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593637 + ... + 595383.

It is an arithmetic number, because the mean of its divisors is an integer number (23598000).

Almost surely, 2^1038608970 is an apocalyptic number.

1038608970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038608970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510272000).

1038608970 is an abundant number, since it is smaller than the sum of its proper divisors (1981935030).

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

1038608970 is a wasteful number, since it uses less digits than its factorization.

1038608970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1038608970 is about 32227.4567721376. The cubic root of 1038608970 is about 1012.7074923026.

The spelling of 1038608970 in words is "one billion, thirty-eight million, six hundred eight thousand, nine hundred seventy".