1025680320 has 280 divisors, whose sum is σ = 4170480864. Its totient is φ = 234399744.

The previous prime is 1025680319. The next prime is 1025680339. The reversal of 1025680320 is 230865201.

1025680320 is a `hidden beast` number, since 10 + 256 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178614 + ... + 184266.

Almost surely, 2^1025680320 is an apocalyptic number.

1025680320 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 1025680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085240432).

1025680320 is an abundant number, since it is smaller than the sum of its proper divisors (3144800544).

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

1025680320 is an equidigital number, since it uses as much as digits as its factorization.

1025680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1025680320 is about 32026.2442381245. The cubic root of 1025680320 is about 1008.4878590825.

The spelling of 1025680320 in words is "one billion, twenty-five million, six hundred eighty thousand, three hundred twenty".