1282496640 has 128 divisors (see below), whose sum is σ = 4116312000. Its totient is φ = 339628032.

The previous prime is 1282496623. The next prime is 1282496641. The reversal of 1282496640 is 466942821.

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

It is a super-2 number, since 2×1282496640² = 3289595263222579200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1282496592 and 1282496601.

It is not an unprimeable number, because it can be changed into a prime (1282496641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283839 + ... + 288321.

Almost surely, 2^1282496640 is an apocalyptic number.

1282496640 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 1282496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058156000).

1282496640 is an abundant number, since it is smaller than the sum of its proper divisors (2833815360).

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

1282496640 is a wasteful number, since it uses less digits than its factorization.

1282496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1282496640 is about 35811.9622472715. The cubic root of 1282496640 is about 1086.4725177043.

The spelling of 1282496640 in words is "one billion, two hundred eighty-two million, four hundred ninety-six thousand, six hundred forty".