1025879600 has 60 divisors (see below), whose sum is σ = 2470961640. Its totient is φ = 409305600.

The previous prime is 1025879599. The next prime is 1025879627. The reversal of 1025879600 is 69785201.

1025879600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164540 + ... + 170660.

It is an arithmetic number, because the mean of its divisors is an integer number (41182694).

Almost surely, 2^1025879600 is an apocalyptic number.

1025879600 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 1025879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235480820).

1025879600 is an abundant number, since it is smaller than the sum of its proper divisors (1445082040).

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

1025879600 is a wasteful number, since it uses less digits than its factorization.

1025879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558 (or 6547 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1025879600 is about 32029.3552854253. The cubic root of 1025879600 is about 1008.5531680754.

The spelling of 1025879600 in words is "one billion, twenty-five million, eight hundred seventy-nine thousand, six hundred".