1025671680 has 640 divisors, whose sum is σ = 4242585600. Its totient is φ = 232243200.

The previous prime is 1025671679. The next prime is 1025671721. The reversal of 1025671680 is 861765201.

1025671680 is a `hidden beast` number, since 1 + 0 + 2 + 567 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14446045 + ... + 14446115.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2^1025671680 is an apocalyptic number.

1025671680 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 1025671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1025671680 is an abundant number, since it is smaller than the sum of its proper divisors (3216913920).

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

1025671680 is a wasteful number, since it uses less digits than its factorization.

1025671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1025671680 is about 32026.1093484675. The cubic root of 1025671680 is about 1008.4850273491.

The spelling of 1025671680 in words is "one billion, twenty-five million, six hundred seventy-one thousand, six hundred eighty".