1282544640 has 264 divisors, whose sum is σ = 4788064008. Its totient is φ = 315555840.

The previous prime is 1282544629. The next prime is 1282544647. The reversal of 1282544640 is 464452821.

1282544640 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 5 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204604416 + 1077940224 = 14304^2 + 32832^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1282544595 and 1282544604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282544647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597970 + ... + 600110.

Almost surely, 2^1282544640 is an apocalyptic number.

1282544640 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 1282544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394032004).

1282544640 is an abundant number, since it is smaller than the sum of its proper divisors (3505519368).

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

1282544640 is a wasteful number, since it uses less digits than its factorization.

1282544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1282544640 is about 35812.6324081322. The cubic root of 1282544640 is about 1086.4860720037.

The spelling of 1282544640 in words is "one billion, two hundred eighty-two million, five hundred forty-four thousand, six hundred forty".