1025597760 has 448 divisors, whose sum is σ = 3910705920. Its totient is φ = 224788480.

The previous prime is 1025597747. The next prime is 1025597779. The reversal of 1025597760 is 677955201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205982 + ... + 5206178.

Almost surely, 2^1025597760 is an apocalyptic number.

1025597760 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 1025597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955352960).

1025597760 is an abundant number, since it is smaller than the sum of its proper divisors (2885108160).

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

1025597760 is a wasteful number, since it uses less digits than its factorization.

1025597760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 1025597760 is about 32024.9552692896. The cubic root of 1025597760 is about 1008.4607996469.

The spelling of 1025597760 in words is "one billion, twenty-five million, five hundred ninety-seven thousand, seven hundred sixty".