1261925280 has 576 divisors, whose sum is σ = 5660928000. Its totient is φ = 248002560.

The previous prime is 1261925279. The next prime is 1261925281. The reversal of 1261925280 is 825291621.

1261925280 is a `hidden beast` number, since 12 + 619 + 2 + 5 + 28 + 0 = 666.

1261925280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1261925279) and next prime (1261925281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261925281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2106421 + ... + 2107019.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^1261925280 is an apocalyptic number.

1261925280 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 1261925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

1261925280 is an abundant number, since it is smaller than the sum of its proper divisors (4399002720).

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

1261925280 is a wasteful number, since it uses less digits than its factorization.

1261925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1261925280 is about 35523.5876566543. The cubic root of 1261925280 is about 1080.6321402147.

The spelling of 1261925280 in words is "one billion, two hundred sixty-one million, nine hundred twenty-five thousand, two hundred eighty".