1282436640 has 144 divisors (see below), whose sum is σ = 4396555800. Its totient is φ = 340402176.

The previous prime is 1282436627. The next prime is 1282436641. The reversal of 1282436640 is 466342821.

1282436640 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 4 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1272776976 + 9659664 = 35676^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1282436640² = 3289287471228979200, which contains 22 as substring.

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 = 1282436595 and 1282436604.

It is not an unprimeable number, because it can be changed into a prime (1282436641) 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, 327816 + ... + 331704.

Almost surely, 2^1282436640 is an apocalyptic number.

1282436640 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 1282436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198277900).

1282436640 is an abundant number, since it is smaller than the sum of its proper divisors (3114119160).

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

1282436640 is a wasteful number, since it uses less digits than its factorization.

1282436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1282436640 is about 35811.1245285596. The cubic root of 1282436640 is about 1086.4555743545.

The spelling of 1282436640 in words is "one billion, two hundred eighty-two million, four hundred thirty-six thousand, six hundred forty".