1025668480 has 128 divisors (see below), whose sum is σ = 2680853760. Its totient is φ = 373555200.

The previous prime is 1025668477. The next prime is 1025668493. The reversal of 1025668480 is 848665201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 335760 + ... + 338800.

It is an arithmetic number, because the mean of its divisors is an integer number (20944170).

It is a vampire number, since it can be written as 21080 ⋅ 48656 (with its own digits).

Almost surely, 2^1025668480 is an apocalyptic number.

1025668480 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 1025668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340426880).

1025668480 is an abundant number, since it is smaller than the sum of its proper divisors (1655185280).

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

1025668480 is a wasteful number, since it uses less digits than its factorization.

1025668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 1025668480 is about 32026.0593891912. The cubic root of 1025668480 is about 1008.4839785549.

The spelling of 1025668480 in words is "one billion, twenty-five million, six hundred sixty-eight thousand, four hundred eighty".