1025967960 has 192 divisors, whose sum is σ = 3439687680. Its totient is φ = 265063680.

The previous prime is 1025967941. The next prime is 1025967977. The reversal of 1025967960 is 697695201.

It is a happy number.

1025967960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1025967960² = 2105220509893123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956507 + ... + 2956853.

It is an arithmetic number, because the mean of its divisors is an integer number (17915040).

Almost surely, 2^1025967960 is an apocalyptic number.

1025967960 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 1025967960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719843840).

1025967960 is an abundant number, since it is smaller than the sum of its proper divisors (2413719720).

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

1025967960 is a wasteful number, since it uses less digits than its factorization.

1025967960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1025967960 is about 32030.7346153659. The cubic root of 1025967960 is about 1008.5821231300.

The spelling of 1025967960 in words is "one billion, twenty-five million, nine hundred sixty-seven thousand, nine hundred sixty".