1025834880 has 256 divisors, whose sum is σ = 3772661760. Its totient is φ = 232243200.

The previous prime is 1025834867. The next prime is 1025834917. The reversal of 1025834880 is 884385201.

It is a super-2 number, since 2×1025834880² = 2104674402049228800, which contains 22 as substring.

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, 1706580 + ... + 1707180.

It is an arithmetic number, because the mean of its divisors is an integer number (14736960).

Almost surely, 2^1025834880 is an apocalyptic number.

1025834880 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 1025834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886330880).

1025834880 is an abundant number, since it is smaller than the sum of its proper divisors (2746826880).

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

1025834880 is a wasteful number, since it uses less digits than its factorization.

1025834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1025834880 is about 32028.6571682298. The cubic root of 1025834880 is about 1008.5385129596.

The spelling of 1025834880 in words is "one billion, twenty-five million, eight hundred thirty-four thousand, eight hundred eighty".