1025262720 has 384 divisors, whose sum is σ = 3780691200. Its totient is φ = 255467520.

The previous prime is 1025262709. The next prime is 1025262751. The reversal of 1025262720 is 272625201.

1025262720 is a `hidden beast` number, since 10 + 2 + 5 + 2 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 9406026 + ... + 9406134.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2^1025262720 is an apocalyptic number.

1025262720 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 1025262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890345600).

1025262720 is an abundant number, since it is smaller than the sum of its proper divisors (2755428480).

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

1025262720 is a wasteful number, since it uses less digits than its factorization.

1025262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1025262720 is about 32019.7239213582. The cubic root of 1025262720 is about 1008.3509737748.

Adding to 1025262720 its reverse (272625201), we get a palindrome (1297887921).

The spelling of 1025262720 in words is "one billion, twenty-five million, two hundred sixty-two thousand, seven hundred twenty".